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微分方程研究所
作者:管理员  来源:研究生工作办公室  发布时间:2017年7月28日  点击次数:5616

一、微分方程研究所简介

微分方程理论是现代数学最重要的研究领域之一,从创立到至今已有300多年的历史,是一门理论与应用并重的学科,与其他学科不断交叉融合形成一些展新的学科分支和新的增长点。

研究所现有研究人员13人,其中教授2人,A3岗教师1人,A4岗教师2人,副教授6人,具有博士学位者11人,研究生导师3人,4个人为美国《数学评论》评论员,2个人为德国《数学文摘》评论员。微分方程理论及应用是济南大学应用数学硕士点招生方向之一。

研究所经过多年努力逐渐形成了深厚科研基础和鲜明研究特色与优势,在时滞差分方程振动理论、微分方程振动理论、时间尺度上动力方程振动理论、分数阶微分方程边值问题、哈密顿系统谱分析、时间尺度上Sturm-Liouville理论、孤立子理论、复分析理论、分数阶微分方程建模与应用等领域已经取得了丰富的研究成果,获得了一批标志性研究成果,奠定了本方向的学术地位和学术影响力。

近年来,主持国家自然科学基金6项、山东省自然科学基金7项,出版学术专著两部,发表SCI收录论文186篇,有30多篇论文单篇SCI他引次数超过40次,2015年有5篇论文入选ESI高被引论文,荣获山东省高校优秀科研成果奖一等奖1项、二等奖6项。指导研究生荣获山东省研究生优秀科技创新成果三等奖2项,山东省优秀硕士论文3篇。已培养毕业研究生21人,其中9人考取博士研究生,4人获硕士研究生国家奖学金。

二、研究所负责人简介

孙书荣,女,1964 年生,山东烟台人,教授, 山东大学博士,济南大学《应用数学》硕士点首批研究生导师,美国《数学评论》评论员,国际差方分程学会会员,2015年荣获山东省第四届优秀研究生导师称号研究方向是微分方程理论及应用,参与国家自然科学基金项目3项,主持山东省自然科学基金项目2项,发表SCI收录论文55篇,获山东高等学校优秀科研成果奖二等奖4济南大学第四、五届教学督导员,济南大学第五届优秀教学奖获得者。指导研究生获山东省优秀硕士学位论文1篇,山东省研究生优秀科技创新成果三等奖1项,两人获硕士研究生国家奖学金,有5篇论文入选ESI高被引论文,山东省优秀毕业生称号1两次荣获济南大学优秀研究生导师称号和济南大学优秀教师称号。指导本科生荣获济南大学优秀毕业论文16篇,山东省优秀学士学位论文4篇。指导大学生研究训练(SRT)项目9项。

三、研究所成员情况

 

学位

毕业学校

专业技术职务

研究方向

韩振来

博士

海军航空工程学院

教授

微分方程定性理论

陈观伟

博士

南开大学

副教授 A3

微分方程(系统)解的存在性和多重性、临界点理论

祁晓光

博士

山东大学

东芬兰大学

副教授 A4

复分析中Nevanlinna理论、复微分方程、、差分方程

杨殿武

学士

山东大学

副教授

孤立子理论、临界点理论

张超

硕士

山东大学

副教授

时间尺度上Sturm-Liouville理论

徐美荣

博士

山东大学

副教授

时滞方程定性理论

李西成

博士

山东大学

讲师

分数阶微分方程建模与应用

张亮

博士

中南大学

讲师

变分法及其在非线性微分方程中的应用

杨健

博士

同济大学

讲师

抛物型偏微分方程定性理论

李楠

博士

山东大学

东芬兰大学

讲师

复微分、差分方程理论

孙莹

博士

华东师范大学

讲师

微分方程定性理论

赵以阁

博士

山东大学

讲师  A4

分数阶微分方程边值问题、

分数阶微分系统控制理论

 

四、研究所主要研究方向

        1. 时滞差分方程振动理论、微分方程振动理论、时间尺度上动力方程振动理论

        2. 分数阶微分方程边值问题、分数阶微分方程建模与应用

        3. 哈密顿系统谱分析、时间尺度上Sturm-Liouville理论

        4. 孤立子理论、临界点理论

        5. 复分析中Nevanlinna理论、亚纯映射唯一性问题、复微分方程、复差分方程

        6. 抛物型偏微分方程定性理论、偏微分方程数值解

 

五、承担国家和省级科研项目

项目、获奖名称

(编号)

类别

获得

时间

承担人

经费(万)或获奖等级

自伴线性关系扰动理论及其在奇异离散线性哈密顿系统中的应用(11571202)

国家自然科学基金

2016.01-2019.12

孙书荣(2

59.66

药物控释系统释药过程分数阶导数建模的研究(11002049)

国家自然科学基金

2011.01-2013.12

李西成

18

非对称线性差分系统谱理论研究11101241

国家自然科学基金

2012.01-2014.12

张超(2

20

亚纯函数与其函数位移及差分算子分担公共值问题的研究11226094

国家自然科学基金

2013.01-2013.12

祁晓光

3

Nevanlinna理论在几类复差分方程中的应用(11301120

国家自然科学基金

2014.01-2016.12

祁晓光

18

离散非线性薛定谔方程孤立子的存在性和多重性的研究11326113

国家自然科学基金

2014.01-2014.12

陈观伟

3

m维无穷格点上离散非线性薛定谔方程的研究11401011

国家自然科学基金

2015.01-2017.12

陈观伟

23

常微分方程非周期边值问题的变分理论及解的研究

ZR2011AL007

山东省自然科学基金

2012.01-2014.12

杨殿武

4

Nevanlinna理论在差分方程中的应用(SZR1218

山东省自然科学基金

2013.01-2015.12

祁晓光

4

动脉壁植入式给药系统的分层分数阶导数模型研究(BS2012SW002

山东省自然科学博士基金

2013.01-2015.12

李西成

4

时间尺度上分数阶动力系统边值问题与应用研究(ZR2012AM009

山东省自然科学基金

2013.01-2015.12

孙书荣

6

时间尺度上高阶中立型时滞动力方程振动性与渐进性及应用(ZR2013AL003

山东省自然科学基金

2014.01-2016.12

韩振来

4

脉冲微分方程边值问题的多解、变号解及其相关问题研究(ZR2014AP011

山东省自然科学基金

2015.01-2017.12

张亮

4

 

复域差分与差分方程中若干问题的研究

(ZR2016AQ20)   
 

山东省自然科学基金

 2016.11-2019.06  李楠  9
 Nevanlinna-Cartan理论和复差分方程的研究(11626112)  国家自然科学基金  201701-201712  李楠  3
 带参数的时滞分数阶差分(q-差分)方程特征值问题及应用研究(ZR2016AM17)  

山东省自然科学基金

 201610-201812  孙书荣  12
 非周期离散薛定谔方程同宿解的研究(ZR201702060025  山东省省属高校优秀青年人才联合基金  2017.07-2020.06  陈观伟  30

 

六、代表性科研成果获奖

序号

成果名称

获奖人

奖励名称

授奖单位

获奖时间

获奖等级

1

时间尺度上动力方程的动力学性质研究

韩振来、孙书荣、孙莹、刘坚、张超

山东省高等学校优秀科研成果

山东省教育厅

2008

二等奖

2

时间尺度上动力方程的动力学性质研究

张超、杨殿武、徐美荣、孙莹、李同兴

山东省高等学校优秀科研成果

山东省教育厅

2009

三等奖

3

几类动态方程解的定性性质研究

孙书荣、张超、李同兴、刘坚、赵以阁

山东省高等学校优秀科研成果

山东省教育厅

2010

二等奖

4

几类动态方程动力学性质研究

韩振来、孙书荣、李同兴、 赵以阁、孙一冰

山东省高等学校优秀科研成果

山东省教育厅

2011

二等奖

5

分数阶微分方程边值问题与动态方程动力学性质研究及应用

孙书荣、韩振来、赵以阁、 张超、宗西举

山东省高等学校优秀科研成果

山东省教育厅

2012

二等奖

6

几类微分系统边值问题与动力学性质研究

孙书荣、张超、 韩振来、张萌、 李秋萍

山东省高等学校优秀科研成果

山东省教育厅

2013

二等奖

7

几类分数阶微分方程定性理论研究与应用

韩振来、祁晓光、孙书荣、李西成、李新慧

山东省高等学校优秀科研成果

山东省教育厅

2015

一等奖

 8   分数阶微分方程定性理论研究 孙书荣、赵以阁、韩振来、丰文泉、潘元元  山东省高等学校科学技术奖  

山东省教育厅

 2016  

二等奖

9

时间尺度上几类动力系统解的性质研究

李同兴

导师:韩振来

山东省研究生优秀科技创新成果

山东省人民政府

2010

三等奖

10

分数阶微分方程边值及初值问题解的存在性研究

赵以阁

导师:孙书荣

山东省研究生优秀科技创新成果

山东省人民政府

2011

三等奖

11

分数阶微分方程边值问题解的存在性

赵以阁

导师:孙书荣

山东省研究生优秀硕士论文

山东省人民政府

2012

 

12

几类时滞动力方程的振动性研究

孙一冰

导师:韩振来

山东省研究生优秀硕士论文

山东省人民政府

2013

 

 13 分数阶 q-差分方程边值问题及其应  

李新慧

导师:韩振来

 

山东省研究生优秀硕士论文

 

山东省人民政府

 2016  

 

 

七、代表性科研论文

 

七、代表性科研论文

1.       Shurong Sun, Yuming Shi, Shaozhu Chen, The Glazman–Krein–Naimark theory for a class of discrete Hamiltonian systems, J. Math. Anal. Appl. 327 (2007) 1360--1380.(SCI收录)

2.       Shurong Sun,Zhenlai Han,Shaozhu Chen. Complex symplectic geometry characterization for self-adjoint extensions of Hamiltonian differential operator. Indian J. pure appl. Math., 2007,38(4):331-340 (SCI收录)

3.       Zhenlai HanShurong SunBao Shi. Oscillation criteria for a class of second order Emden-Fowler delay dynamic equations on time scales. J. Math. Anal. Appl., 2007, 334(2):847-858. (SCI收录)

4.       Zhenlai Han, Bao Shi, Shurong Sun. Oscillation criteria for second-order delay dynamic equations on time scales. Advance in Difference Equations, vol. 2007, Article ID 70730, 16 pages, 2007. (SCI收录) .

5.       Yang Dianwu,Periodic solutions of autonomous second order functional differential equations near an equilibriumProceedings of the 6th conference of Biomathematics2008.ISTP

6.       M.R.Xu徐美荣,B.Shi, X.Y.Zeng. Asymptitic behavior for nonoscillatory solutions of reaction-diffusion difference equations with several delays in the neutral termJournal of Applied Mathematics and Computing, 27(1-2),33-45,2008   (EI收录)

7.       孙莹,朱德明,连接1阶细鞍焦点的反转同宿环附近的动态及分支问题。数学年刊200829A3):425-434

8.   Deming Zhu,Ying SunHomoclinic and Periodic Orbits Arising Near the Heteroclinic Cycle Connecting Saddle-focus and Saddle Under Reversible ConditionActa Mthematica Sinica,English Series200723(8)1495-1504.  (SCI收录)

9.   Martin Bohner, Shurong Sun. Weyl-Titchmarsh Theory for Symplectic Difference Systems, Appl. Math. Comput. 216 (2010) 2855–2864. (SCI收录)

10.     Zhenlai Han, Tongxing Li, Shurong Sun, Yibing Sun, Remarks on the paper [Appl. Math. Comput. 207 (2009) 388-396], Applied Mathematics and Computation, 2010, 215: 3998-4007. (SCI收录)

11.     Shurong Sun, Zhenlai Han, Ping Zhao and Chao Zhang, Oscillation for a Class of Second Order Emden-Fowler Delay Dynamic Equations on Time Scales, Advances in Difference Equations, vol. 2010, Article ID 642356, 15 pages, 2010. (SCI收录)

12.     Shurong Sun, Martin Bohner and Shaozhu Chen. Weyl--Titchmarsh Theory for Hamiltonian Dynamic Systems, Abstract and Applied Analysis, vol. 2010, Article ID 514760, 18 pages, 2010.. (SCI收录)

13.     Fengjuan CaoZhenlai Han and Shurong Sun. Existence of periodic solutions for p-Laplacian equations on time scalesAdvances in Difference Equations, vol. 2010, Article ID 584375, 13 pages, 2010. (SCI)

14.     Zhenlai Han, Tongxing Li, Shurong Sun and Weisong Chen. On the oscillation of second order neutral delay differential equations, Advances in Difference Equations, vol. 2010, Article ID 289340, 8 pages, 2010. (SCI收录)

15.     Zhenlai Han, Shurong Sun, Tongxing Li, Chenghui Zhang. Oscillatory behavior of quasilinear neutral delay dynamic equations on time scales, Advances in Difference Equations, vol. 2010, Article ID 450264, 24 pages, 2010. (SCI收录)

16.     Yibing Sun, Zhenlai Han,Tongxing Li, Guangrong Zhang, Oscillation criteria for second order quasi-linear neutral delay dynamic equations on time scales, Advances in Difference Equations, vol. 2010, Article ID 512437, 14 pages, 2010. (SCI收录)

17.     Zhenlai Han, Tongxing Li, Shurong Sun and Chenghui Zhang. Oscillation behavior of third order neutral Emden-Fowler delay dynamic equations on time scales, Advances in Difference Equations, vol. 2010, Article ID 586312, 23 pages, 2010. (SCI收录)

18.     Fengjuan Cao, Zhenlai Han, Ping Zhao and Shurong Sun. Uniqueness of periodic solution for a class of Li$\acute{e}$nard \emph{p}-Laplacian equations. Advances in Difference Equations, vol. 2010, Article ID 235749, 14 pages, 2010. (SCI收录)

19.     Tongxing Li, Zhenlai Han, Ping Zhao, Shurong Sun. Oscillation of even order neutral delay differential equations. Advances in Difference Equations, vol. 2010, Article ID 184180, 7 pages, 2010. (SCI收录)

20.     Zhenlai Han, Tongxing Li, Shurong Sun, Chenghui Zhang. On the oscillation of second order neutral delay dynamic equations on time scales, African Diaspora Journal of Mathematics, 2010, 9(1): 76-86.

21.      X. G. Qi *, L. Z. Yang and K. Liu, Uniqueness and periodicity of meromorphic functions concerning difference operator, Comput. Math. Appl. 60 (2010), 1739-1746 (SCI收录)

22.      X. G. Qi * and L. Z. Yang, Uniqueness of entire functions and fixed pointsAnn. Polon. Math. 97 (2010), 87-100(SCI收录)

23.     Xicheng Li, Wen Chen, Analytical study on the fractional anomalous diffusion in a half plane, Journal of Physics A: Mathematical and Theoretical, 43 (2010) 495206. (SCI收录)

24.      Xicheng Li, Wen Chen, Numerical study on a layered fractional model of drug release, Proceedings of 2010 IEEE/ASME International Conference on Mechatronic and Embedded Systems and Applications, (2010) 470-473. (SCI收录)

25.     Hui Wei, Wen Chen, Hongguang Sun, Xicheng Li, A coupled method for inverse source problem of spatial fractional anomalous diffusion equations, Inverse Problems in Science and Engineering, 18(7) (2010) 945-956. (SCI收录)

26.     M.R.XuS.P.Xu. Global behavior of a discrete haematopoiesis model with several delaysApplied Mathematics and Compution2010, 217, 441-449.    (SCI收录)

27.     M.R.XuS.P.Xu,H.Y.Guo. Determination of natural frequencies of fluid-conveying pipes using homotopy perturbation method, Computers and Mathematics with Applications,2010, 60, 520-527. (SCI收录) 

28.   Li, NanYang, Lian-Zhong Meromorphic function that shares one small function with its differential polynomial. Kyungpook Math. J. 50 (2010), no. 3, 447–454. (SCI收录)

29.     Yige Zhao, Shurong Sun, Zhenlai Han, Qiuping Li, The existence of multiple positive solutions for boundary value problems of nonlinear fractional differential equations, Communications in Nonlinear Science and Numerical Simulation. 2011, 16(4): 2086-2097. (SCI收录)

30.     Elvan Akin-Bohner, Shurong Sun. Existence of solutions for second-order dynamic inclusions, International Journal of Dynamic Systems and Differential Equations, 2011,3(1-2):24-37. (EI收录)

31.     Yige Zhao, Shurong Sun, Zhenlai Han, Meng Zhang. Positive solutions for boundary value problems of nonlinear fractional differential equations, Applied Mathematics and Computation, 2011, 217(16): 6950-6958. (SCI收录)

32.      Yige ZhaoShurong Sun, Zhenlai Han, Qiuping Li. Theory of fractional hybrid differential equations. Comput. Math. Appl., 2011, 62(3): 1312-1324. (SCI收录)

33.      Wenquan Feng, Shurong Sun, Zhenlai Han,Yige Zhao. Existence of solutions for a singular system of nonlinear fractional differential equations. Computers & Mathematics with Applications, 2011,.62(3):1370-1378. (SCI收录)

34.      Tongxing Li, Zhenlai Han, Shurong Sun, Yige Zhao. Oscillation results for third order nonlinear delay dynamic equations on time scales, Bull. Malays. Math. Sci. Soc.(2) 34(3)(2011), 639-648. (SCI收录)

35.     Shurong Sun, Zhenlai Han, Ying Sun, Yuanyuan Pan, Oscillation theorems for certain third order nonlinear delay dynamic equations on time scales, Electronic Journal of Qualitative Theory of Differential Equations, 2011, 2011 (75): 1-14. (SCI收录)

36.     Shurong Sun, Meng Zhang, Zhenlai Han, Hua Li.Existence of positive solutions for Sturm-Liouville-like boundary value problem with p-Laplacian on time scales.J Appl Math Comput,2011,37(1-2):443-458. (EI收录)

37.     Yige Zhao, Shurong Sun, Zhenlai Han, Qiuping Li, Positive solutions to boundary value problems of nonlinear fractional differential equations, Abstract and Applied Analysis, vol. 2011, Article ID 390543, 16 pages. (SCI收录)

38.     Shurong Sun,Tongxing Li, Zhenlai Han, and Yibing Sun. Oscillation of second-order neutral functional differential equations with mixed nonlinearities, Abstract and Applied Analysis, vol. 2011, Article ID 927690,15 pages, 2011. (SCI收录)

39.     Yige Zhao, Shurong Sun, Zhenlai Han, Wenquan Feng, Positive solutions for a couple system of nonlinear differential equations of mixed fractional orders, Advances in Difference Equations 2011, 2011:10, 13pages. (SCI收录)

40.     Tongxing Li, Zhenlai HanYibing Sun and Yige Zhao. Asymptotic behavior of solutions for third-order half-linear delay dynamic equations on time scales. J Appl Math Comput (2011) 36 (1-2): 333-346. (EI收录)

41.      Tongxing Li, Zhenlai Han, Chenghui Zhang, Shurong Sun. On the oscillation of second-order Emden-Fowler neutral differential equations. J Appl Math Comput,2011,37(1-2):601-610. (EI收录)

42.     Zhenlai Han, Tongxing Li, Shurong Sun, Chao Zhang, Bangxian Han, Oscillation criteria for a class of second order neutral delay dynamic equations of Emden-Fowler type,  Abstract and Applied Analysis, vol. 2011, Article ID 653689, 26 pages, 2011. (SCI收录)

43.     Zhenlai Han, Tongxing LiChenghui Zhang, and Ying Sun. Oscillation criteria for a certain second-order nonlinear neutral differential equations of mixed type, Abstract and Applied Analysis, vol.2011, Article ID387483, 9 pages, 2011. (SCI收录)

44.     Weisong Chen, Zhenlai Han, Shurong Sun,Tongxing Li. Practical -stability for impulsive dynamic systems with time scales and initial time difference.Journal of Applied Mathematics and Informatics, 2011, 29(3-4): 891-900.

45.     Tongxing Li, Zhenlai Han, Shurong Sun, Meng Zhang. Oscillation behavior of solutions of third-order nonlinear delay dynamic equations on time scales. Commun. Korean Math. Soc., 2011, 26(3): 499-513.

46.     Tongxing Li, Zhenlai Han, Shurong Sun, Yige Zhao. Oscillation results for third order nonlinear delay dynamic equations on time scales, Bull. Malays. Math. Sci. Soc.(2) 34(3)(2011), 639-648. (SCI收录)

47.     Yibing Sun, Zhenlai Han, Ying Sun, Yuanyuan Pan, Oscillation theorems for certain third order nonlinear delay dynamic equations on time scales, Electronic Journal of Qualitative Theory of Differential Equations, 2011, 2011 (75): 1-14. (SCI收录)

48.     Tongxing Li,Zhenlai Han, Chenghui Zhang, Hua Li. Oscillation criteria for second-order superlinear neutral differential equations. Abstract and Applied Analysis, vol. 2011, Article ID367541, 17 pages, 2011. (SCI收录)

49.     G. Chen*, S. Ma, Periodic solutions for Hamiltonian systems without Ambrosetti Rabinowitz condition and spectrum 0, J. Math. Anal. Appl., 379 (2011), 842-851. SCI收录)

50.     G. Chen*, S. Ma, On the quasilinear elliptic problem with a Hardy-Sobolev critical exponent, Dynamics of PDE, 8 (2011), 225-237. SCI收录)

51.     G. Chen*, S. Ma, Homoclinic orbits of superlinear Hamiltonian systems, Proc. Amer. Math.  Soc., 139 (2011), 3973-3983. SCI收录)

52.     X. G. Qi *and K. Liu, Uniqueness and value distribution of differences of entire functionsJ. Math. Anal. Appl. 379 (2011), 180-187 (SCI收录)

53.     X. G. Qi *, Value distribution and uniqueness of difference polynomials and entire solutions of difference equations, Ann. Polon. Math. 102 (2011), 129-142 (SCI)

54.     X. G. Qi *, K. Liu and L. Z. Yang, Value sharing results of a meromorphic function f(z) and f(qz), Bull. Korean. Math. Soc. 48 (2011), 1235-1243 (SCI收录)

55.     X. G. Qi *and L. Z. Yang, Differential analogues of the Brck conjectureAnn. Polon. Math. 101 (2011), 31-38 (SCI收录)

56.     J. Dou, X. G. Qi *and L. Z. Yang, Entire functions that share fixed points, Bull. Malays. Math. Sci. Soc. 34(2) (2011), 355-367 (SCI收录)

57.   Chen Yin, Xicheng Li, Anomalous diffusion of drug release from a slab matrix: Fractional diffusion models, International Journal of Pharmaceutics, 418 (2011) 78– 87. (SCI收录)

58.   Shaowei Wang, Moli Zhao, Xicheng Li, Radial anomalous diffusion in an annulus, Physica A, 390 (2011) 3397–3403. (SCI收录)

59.     Xicheng Li, Wen Chen, Nested meshes for numerical approximation of space fractional differential equations. Eur. Phys. J. Special Topics 193 (2011), 221–228.(SCI收录)

60.   Liang Zhang, Xianhua Tang*, Jing Chen, Infinitely many periodic solutions for some second-order differential systems with p(t)-Laplacian, Volume 2011, Boundary Value Problems, 18pp. (SCI收录)

61.   Liang Zhang, Xianhua Tang*, Subharmonic solutions for some nonautonomous Hamilton systems with p(t)-Laplacian, Bulletin of the Belgian Mathematical Society-Simon Stevin, 2011, 18, 3: 385-400. (SCI收录)

62.   Chao Zhang, Comparison of eigenvalues for second order equations on time scales, Proc of 2011 International Conference on Multimedia Technology 2047-2050.  (EI收录)

63.   Ying Sun and Zhenlai Han  Permanence and Stability of Ivlev-Type Chemostat Model with Impulsive Perturbation on The Nutrient Concentration ISBN 978-1-84626-029-2 Proceedings of the 7th Conference on Biological Dynamic System and Stability of Differential Equation, Chongqing, P. R. China, May, 2010, pp. 263-266(ISTP收录)

64.   Ying Sun, Zhenlai Han, Permanence and Stability of Ivlev-Type Chemostat Model with Impulsive Perturbation, Proceedings of the 30th Chinese Control Conference July 22-24, 2011, Yantai, China ,pp. 5619-5623 (EI收录)

65.   Ying Sun, Zhenlai Han, Existence and Uniqueness for Impulsive Fractional Integrodifferential Equations, Proceedings of 2011 International Con. on Appl. and Engin. Math., Shanghai, China, Oct,2011,pp 635-638. (EI收录)

66.   Ying Sun, Zhenlai Han, Existence for Impulsive Fractional Integrodifferential Equations with Nonlocal Conditions ISBN 978-1-84626-091-9 Proceedings of the 5th International Congress on Mathematical Biology (ICMB2011)  Vol. 1 Nanjing, P. R. China, June 3-5, 2011pp.269-275(ISTP收录)

67.     Shurong Sun, Yige Zhao, Zhenlai Han, Meirong Xu. Uniqueness of positive solutions for boundary value problems of singular fractional differential equations. Inverse Problems in Science and Engineering, 20(3) (2012) 299—309. (SCI收录)

68.     Meng Zhang, Shurong Sun, Zhenlai Han, Positive solutions for discrete Sturm-Liouville-like four-point p-Laplacian boundary value problems, Bulletin of the Malaysian Mathematical Society, 2012, 35(2): 303-314. (SCI收录

69.     Shurong Sun, Qiuping Li,Yanan Li. Existence and uniqueness of solutions for a coupled system of multi term nonlinear fractional differential equations. Computers and Mathematics with Applications 64(10) (2012) 3310–3320. (SCI收录)

70.     Chao Zhang, Shurong Sun, Eigenvalue Comparisons for Second-OrderLinear Equations with Boundary Value Conditions on Time Scales, Journal of Applied Mathematics,Volume 2012, Article ID 486230, 10 pages. (SCI收录)

71.     Shurong Sun, Yige Zhao, Zhenlai Han, Yanan Li, The existence of solutions for boundary value problem of fractional hybrid differential equations, Communications in Nonlinear Science and Numerical Simulation,1720124961-4967. (SCI收录)

72.     Shurong Sun,Tongxing Li, Zhenlai Han, Hua Li, Oscillation theorems for second-order quasi-linear neutral functional differential equations, Abstract and Applied Analysis,Volume 2012, Article ID 819342, 17 pages, doi:10.1155/2012/819342.  (SCI收录)

73.     Qiuping Li, Shurong Sun, Ping Zhao, Zhenlai Han, Existence and uniqueness of solutions for initial value problem of nonlinear fractional differential equations, Abstract and Applied Analysis, Volume 2012, 2012, Article ID 615230, 14 page. (SCI收录)

74.     Qiuping Li, Shurong Sun, Zhenlai Han, Yige Zhao. Existence of positive solutions to the singular initial value problems of fractional differential equations. Advanced Materials ResearchVols. 403-408 (2012): 563-569. (EI收录:20115014602305)

75.      Shurong Sun, Zhenlai Han, Tongxing Li, Erratum to Oscillation of second-order delay dynamic equations on time scales, Journal of Applied Mathematics and Computing, (2012) 39:551-554. (EI收录)

76.     Yibing Sun, Zhenlai Han, Shurong Sun, Chao Zhang. Oscillation criteria for even order nonlinear neutral differential equations. Electronic Journal of Qualitative Theory of Differential Equations,2012, 2012 (30): 1-12. (SCI收录)

77.     Zhenlai Han, Tongxing Li,Chenghui Zhang, Shurong Sun.Oscillatory behavior of solutions of certain third-order mixed neutral functional differential equations, Bulletin of the Malaysian Mathematical Society, 2012, 35(3):661-620. (SCI收录)

78.     Zhenlai Han, Hongling Lu, Shurong Sun, Dianwu Yan, Positive solutions to boundary value problems of p-Laplacian fractional differential equations with a parameter in the boundary conditions, Electronic Journal of Differential Equations, 2012,2012(213):1-14. (SCI收录)

79.     Zhenlai Han, Tongxing Li, Shurong Sun, Weisong Chen, Oscillation of second order quasilinear neutral delay differential equations, Journal of Applied Mathematics and Computing, (2012) 40:143-152. (EI收录)

80.     Yuanyuan Pan, Zhenlai Han,Shurong Sun,Yige Zhao.The existence of solutions to a system of discrete fractional boundary value problems. Abstract and Applied Analysis, Volume 2012, Article ID 707631,15 pages. (SCI收录)

81.     Yi-Bing Sun, Zhen-Lai Han, Oscillation of even order damped neutral delay differential equations with mixed nonlinearities, Proceedings of the 2012 International Conference on Industrial Control and Electronics Engineering, ICICEE 2012, p 1777-1780, 2012  (EI收录)

82.      Meng Han, Zhen-lai Han, Oscillation Theorem of Second–Order Half–Linear Dynamic Equations with Damping on Time Scales, Proceedings of the 2012 International Conference on Industrial Control and Electronics Engineering, ICICEE 2012, p 2029-2032, 2012  (EI收录)

83.      Hong-Ling Lu, Zhen-Lai Han, Existence of positive solutions for boundary value problem of fractional differential equation with p-Laplacian operator, Proceedings of the 2012 International Conference on Industrial Control and Electronics Engineering, ICICEE 2012, p 582-585, 2012 (EI收录)

84.     Shurong Sun, Zhenlai Han, Tongxing Li, Erratum to Oscillation of second-order delay dynamic equations on time scales, Journal of Applied Mathematics and Computing, (2012) 39:551-554. (EI收录

85.     G. Chen*, S. Ma, Discrete nonlinear Schrödinger equations with superlinear nonlinearities, Appl. Math. Comput., 218 (2012), 5496-5507. SCI收录)

86.   Xiaoguang Qi*, Jia Dou and Lianzhong Yang, Uniqueness and value distribution for difference operators of meromorphic function, Adv. Diff. Equ. 2012, 2012:32 (SCI收录)

87.   Y. Liu, X. G. Qi * and H. X. Yi, Some results on difference polynomials sharing values, Adv. Diff. Equ., 2012: 1, 2012 (SCI收录)

88.   Chao Zhang, Yuangong Sun. Stability analysis of linear positive systems with time delays on time scales. Advances in Difference Equations, 2012, 2012(56):1-11. (SCI收录)

89.   Chao Zhang, Yuming Shi. Classification and criteria of the limit cases for singular second-order linear equations on time scales. Boundary Value Problems, 2012, 2012(103):1-17. (SCI收录)

90.   Chao Zhang, Shurong Sun, Eigenvalue comparisons for second-order linear equations with boundary value conditions on time scales. Journal of Applied Mathematics, 2012, Article ID 486230, 1-10 . (SCI收录)

91.   Liang Zhang, Peng Zhang, Periodic solution for second order differential inclusion system, Abstract and Applied Analysis, Volume 2012, Article ID 475956 24pp. (SCI收录)

92.   Liang Zhang, Yi Chen, Existence of p(t)-Laplacian systems, Bulletin of the Malaysian Mathematical Society, 2012, 35, 1: 28-35. (SCI收录)

93.     Shurong Sun, Yige Zhao,Zhenlai Han, Jian Liu. Eigenvalue problem for a class of nonlinear fractional differential equations. Annals of Functional Analysis, 2013, 4(1):25-39.(SCI收录)

94.      Shurong Sun, Tongxing Li, Zhenlai Han, Chao Zhang. On oscillation of second-order nonlinear neutral functional differential equations. Bulletin of the Malaysian Mathematical Society,2013,36(3):541-554. (SCI收录)

95.     Hongling Lu, Shurong Sun, Dianwu Yang, Houshan Teng. Theory of fractional hybrid differential equations with linear perturbations of second type. Boundary Value Problems,2013, 2013:23, 1-16. (SCI收录)

96.     Yanan Li, Shurong Sun, Dianwu Yang, Zhenlai Han. Three point boundary value problems of fractional functional differential equations with delay. Boundary Value Problems, 2013, 2013: 38,1-15. (SCI收录)

97.     Tongxing Li, Shurong Sun, Zhenlai Han, Bangxian Han, Yibing Sun. Oscillation results for second-order quasi-linear neutral delay differential equations.Hacettepe Journal of mathematics statistics,2013,42(2): 131-138. (SCI收录)

98.     Rian Yan, Shurong Sun, Ying Sun, Zhenlai Han. Boundary value problems for fractional differential equations with nonlocal boundary conditions. Advances in Difference Equation,2013,2013(176):1-12. (SCI收录)

99.     Yanan Li, Shurong Sun, Zhenlai Han, Hongling Lu. The existence of positive solutions for boundary value problem of fractional Sturm-Liouville functional differential equation.Abstract and Applied Analysis,2013,Volume 2013, Article ID 301560, 20 pages.(SCI收录)

100.  Shurong Sun,Thabet Abdeljawad,Jehad Alzabut. Recent Developments and Applications on Discrete Fractional Equations and Related Topics. Discrete Dynamics in Nature and Society,2013, Article ID 609861, (2013):1-2. (SCI收录

101.  Hongling Lu,Zhenlai Han, Shurong Sun, Jian Liu. Existence on positive solutions for boundary value problems of nonlinear fractional differential equations with p-Laplacian.Advances in Difference Equations,2013, 2013:30, 1-16, (SCI收录)

102.  Yibing Sun,Zhenlai Han,Shurong Sun,Chao Zhang. Interval oscillation criteria for second order nonlinear forced dynamic equations with damping on time scales. Abstract and Applied Analysis, 2013,Volume 2013, Article ID 359240,11 pages. (SCI收录)

103.  Zhenlai Han, Yibing Sun, Meirong Xu. Oscillation criteria for p-Laplacian delay dynamic equations with damping on time scales. Advances in Difference Equations, 2013,2013(145):1-16. (SCI收录)

104.   Zhenlai Han,Yige Zhao,Ying Sun, Chao Zhang. Oscillation for a class of fractional differential equation. Discrete Dynamics in Nature and Society,2013, Article ID 390282, (2013):1-6. (SCI收录)

105.   Xinhui Li, Zhenlai Han, Shurong Sun. Existence of positive solutions of nonlinear fractional q-difference equation with parameter. Advances in Difference Equations, 2013,2013(260):1-13. (SCI收录)

106.  Yuanyuan Pan, Zhenlai Han, Shurong Sun, Chuanxia Hou. The existence of solutions to a class of boundary value problems with fractional difference equations, Advances in Difference Equations,2013, 2013 (275): 1-20. (SCI收录)

107.  Xinchao Yang, Xiju Zong, Xingong Cheng, Zhenlai Han. Stability and Bifurcation Analysis for a Delay Differential Equation of Hepatitis B Virus Infection. Journal of Applied Mathematics,Volume 2013 (2013), Article ID 875783, 15 pages. (SCI收录)

108.  G. Chen*, Nonlinear elliptic equation with lower order term and degenerate coercivity, Math. Notes, 93 (2013), 224-237.  SCI收录)

109.   G. Chen*, S. Ma, Ground state and geometrically distinct solitons of discrete nonlinear Schrödinger equations with saturable nonlinearities, Stud. Appl. Math., 131 (2013) , 389-413. SCI收录)

110.  G. Chen*, S. Ma, Ground state periodic solutions of second order Hamiltonian systems without spectrum 0, Israel J. Math., 198 (2013), 111-127.  SCI收录)

111.  G. Chen*, S. Ma, Asymptotically or super linear cooperative elliptic systems in the whole space, 中国科学(英文版), 56 (2013), 1181-1194.  SCI收录)

112.  G. Chen*, Non-periodic damped vibration systems with sublinear terms at infinity: Infinitely many homoclinic orbits, Nonlinear Anal. TMA, 92 (2013), 168-176.  SCI收录)

113.  X. G. Qi *, Z. H.Wang and L. Z. Yang, Growth of solutions of some higher order linear difference equations, Bull. Belg. Math. Soc. Simon Stevin 20,111–122, 2013 (SCI收录)

114.  X. G. Qi * and L. Z. Yang, Sets and value sharing of q-differences of meromorphic functions, Bull. Korean. Math. Soc. 50, 731-745, 2013 (SCI收录)

115.   X. G. Qi* and L. Z. Yang, Properties of meromorphic solutions to certain differential-difference equations, Electron. J. Differ. Eq. No. 135,1-9, 2013 (SCI收录)

116.  Xicheng Li, Shaowei Wang, Moli Zhao. Two methods to solve a fractional single phase moving boundary problem. Central European Journal of Physics, 11 (2013) 1387-1391. (SCI收录)

117.      Chao Zhang,  Shurong Sun,  Stability and instability regions of second-order equations with periodic point interactions on time scales,  J Appl Math Comput,  41:351–365,  2013.  (EI收录)

118.      Liang Zhang, Xianhua Tang, Periodic solutions of the p(t)- Laplacian Hamilton systems, Application of Mathematics, 2013, 58, 1: 39-61. (SCI收录)

119.      Liang Zhang, Xianhua Tang, Existence and multiplicity of periodic solutions for some second order differential systems with p(t)-Laplacian, Mathematica Slovaca, 2013, 63, 6: 1269-1290. (SCI收录)

120.      Meirong XuYuzhen Wang. Global behavior of a discrete survival model with several delays, Journal of applied mathematics, Volume 2013,Article ID 932607  (SCI收录)

121.  Li, NanYang, Lianzhong Value distribution of difference and q-difference polynomials. Adv. Difference Equ. 2013, 2013:98, 9 pp. (SCI收录)

122.  Li, NanYang, Lianzhong The hyper order and fixed points of solutions of linear differential equations. Electron. J. Qual. Theory Differ. Equ. 2013, No. 17, 17 pp. (SCI收录)

123.  Zhenlai Han, Weisong Chen, Shurong Sun, and Guangrong Zhang, Practical stability for discrete hybrid system with initial time difference, Bulletin of the Malaysian Mathematical Society,2014,37(1):49-58. (SCI收录)

124.  Hongling Lu, Zhenlai Han and Shurong Sun. Multiplicity of positive solutions for Sturm-Liouville boundary value problems of fractional differential equations with p-Laplacian. Boundary Value Problems, 2014, 2014 (26): 1-17. (SCI收录)

125.  Zhenlai Han, Yuanyuan Pan, Dianwu Yang, The existence and nonexistence of positive solutions to a discrete fractional boundary value problem with a parameter, Applied Mathematics Letters,2014,36:1-6. (SCI收录)

126.  Said R. Grace, Shurong Sun, Yizhuo Wang, On the oscillation of fourth order strongly superlinear and strongly sublinear dynamic equations, Journal of Applied Mathematics and Computing, 2014, 44(1-2): 119-132. (EI收录)

127.  Xiju Zong, Shurong Sun. On the global attractor of the two-component π-Camassa–Holm equation with viscous terms,Nonlinear Analysis: Real World Applications,20(2014)82-98. (SCI收录)

128.  Rian Yan, Shurong Sun, Hongling Lu,Yan Zhao. Existence of solutions for fractional differential equations with integral boundary conditions. Advances in Difference Equations,2014. 2014(25):1-13. (SCI收录)

129.   Bingxian Li, Shurong Sun, Yanan Li, Ping Zhao, Multi-point boundary value problems for a class of Riemann-Liouville fractional differential equations, Advances in Difference Equations, 2014, 2014 (151): 1-11. (SCI收录)

130.   Wenquan Feng, Shurong Sun, Xinhui Li and Meirong Xu, Positive solutions to fractional boundary value problems with nonlinear boundary conditions, Boundary Value Problems,2014,2014(225):1-15. (SCI收录)

131.  Shurong SunGuangrong Zhang, Ping Zhao, Uniform stability of discrete-time switched nonlinear systems, Applied Mechanics and Materials,2014,643:83-89. (EI收录)

132.   Shurong SunWeisong Chen, Yan Zhao, Zhenlai Han, Strict practical stability for discrete hybrid systems in terms of two measures, Applied Mechanics and Materials,2014,643:90-95. (EI收录)

133.   Said R. Grace, Zhenlai Han, Yunlong Shi. Oscillation criteria for strongly superlinear and strongly sublinear higher order dynamic equations on time-scales, Annals of Differential Equations, 30:3 (2014), 326-332.

134.      Zhenlai Han, Weisong Chen, Shurong Sun, and Guangrong Zhang, Practical stability for discrete hybrid system with initial time difference, Bulletin of the Malaysian Mathematical Society,2014,37(1):49-58. (SCI收录)

135.      Hongling Lu, Zhenlai Han and Shurong Sun. Multiplicity of positive solutions for Sturm-Liouville boundary value problems of fractional differential equations with p-Laplacian. Boundary Value Problems, 2014, 2014 (26): 1-17. (SCI收录)

136.      Yizhuo Wang, Zhenlai Han, Ping Zhao, Shurong Sun. On the oscillation and asymptotic behavior for a kind of fractional differential equations. Advances in Difference Equations,2014,2014(50):1-11. (SCI收录)

137.      Xinhui Li, Zhenlai Han, Shurong Sun and Hongling Lu. Boundary value problems for fractional q-difference equations with nonlocal conditions. Advances in Difference Equations,2014,2014(57):1-16. (SCI收录)

138.      Zhenlai Han, Yuanyuan Pan, Dianwu Yang, The existence and nonexistence of positive solutions to a discrete fractional boundary value problem with a parameter, Applied Mathematics Letters,2014,36:1-6. (SCI收录)

139.      Zhenlai Han, Yibing Sun, Yan Zhao, Dianwu Yang,Oscillation criteria for certain even order neutral delay differential equations with mixed nonlinearities, Abstract and Applied Analysis, 2014 (2014), Article ID 629074, 11 pages. (SCI收录)

140.      Shouxian Xiang, Zhenlai Han, Ping Zhao, Ying Sun,Oscillation behavior for a class of differential equation with fractional-order derivatives, Abstract and Applied Analysis,2014(2014), Article ID 419597, 9 pages. (SCI收录)

141.  陈观伟*, 马世旺, 带有无界势和一般时间频率的非周期离散非线性Schrödinger方程:无穷多个孤立子, 中国科学(中文版), 44 (2014), 843-856.

142.  G. Chen*, Innitely many nontrivial periodic solutions for damped vibration problems with asymptotically linear terms, Appl. Math. Comput., 245 (2014), 438-446.  SCI收录)

143.  G. Chen*, S. Ma, Homoclinic solutions of discrete nonlinear Schrödinger equations with asymptotically or super linear terms, Appl. Math. Comput., 232 (2014), 787-798. SCI收录)

144.  G. Chen*, S. Ma, Infinitely many solutions for resonant cooperative systems with sublinear or superlinear terms, Calc. Var. Partial Differential Equations, 49 (2014), 271-286. SCI收录)

145.  G. Chen*, Quasilinear elliptic equations with Hardy-Sobolev critical exponents: Existence and multiplicity of nontrivial solutions, J. Appl. Math., 2014 (2014), 482740.  SCI收录)

146.  G. Chen*, Ground state solutions of non-resonant cooperative elliptic systems with superlinear terms, Bull. Korean Math. Soc., 51 (2014), 789-801. SCI收录)

147.  G. Chen*, Homoclinic orbits for second order Hamiltonian systems with asymptotically linear terms at innity, Adv. Difference Equ., 2014 (2014), 114.    SCI收录)

148.   G. Chen*, J. Wang, Ground state homoclinic orbits of damped vibration problems, Bound. Value Probl., 2014 (2014), 106.      SCI收录)

149.  G. Chen*, J. Wang, Ground state periodic solutions for Dufng equations with superlinear nonlinearities, Adv. Difference Equ., 2014 (2014), 139.       SCI收录)

150.  G. Chen*, X. Zhao, Ground state homoclinic orbits of superquadratic damped vibration systems, Adv. Difference Equ., 2014 (2014), 230.    SCI收录)

151.  Xiaoguang Qi*, Jia Dou and Lianzhong Yang, The properties of solutions of certain type of difference equations, Adv. Diff. Equ. 2014: 256, 2014.SCI收录)

152.  Xiaoguang Qi * and Lianzhong Yang, Sharing sets of q-difference of meromorphic functions, Math. Slovaca 64, 51-60, 2014  SCI收录)

153.  Yong Liu, Xiaoguang Qi* , Uniqueness of difference polynomials of meromorphic functions, Acta Math. Sci. 34B, 444–452, 2014  SCI收录)

154.  Shaowei Wang, Moli Zhao, Xicheng Li, Transient electro-osmotic flow of generalized Maxwell fluids in a straight pipe of circular cross section, Cent. Eur. J. Phys. 12(6) (2014)  445-451. (SCI收录)

155.  Xicheng Li. Analytical solutions to a fractional generalized two phase Lame-Clapeyron-Stefan problem. International Journal of Numerical Methods for Heat & Fluid Flow, 24 (2014) 1251-1259. (SCI收录)

156.  Meirong XuYuzhen Wang. Robust graph coloring based on the matrix semi-tensor product with application to examination timetabling, Control theory and technology, 2014, 12(2): 187-197. (EI收录)

157.  Li, NanYang, Lianzhong Growth of solutions to second-order complex differential equations. Electron. J. Differential Equations 2014, No. 51, 12 pp. SCI收录)

158.  Li, NanYang, Lianzhong Some results related to complex linear and nonlinear difference equations. J. Difference Equ. Appl. 20 (2014), no. 2, 237–250.  SCI收录)

159.  Li, NanYang, Lianzhong Value distribution of certain type of difference polynomials. Abstr. Appl. Anal. 2014, Art. ID 278786, 6 pp. SCI收录)

160.  Meirong XuYuzhen Wang. Robust graph coloring based on the matrix semi-tensor product with application to examination timetabling, Control theory and technology, 12(2):187-197,2014(EI收录)

161.      Meirong XuYuzhen Wang. T-coloring of graphs with application to frequency assignment in cellular mobile networks, Proceedings of the 33rd Chinese control conference Nanjing, China, July, 2014,2536-2541EI收录)

162.      Dianwu Yang,A variational principle for three-point boundary value problems with impulse, Abstract and Applied Analysis. Volume 2014, Article ID 840408. (SCI收录) 

163.  Yizhuo Wang, Zhenlai Han, and Shurong Sun, Comment on ``On the oscillation of fractional-order delay differential equations with constant coefficients" [Commun. Nonlinear. Sci.Volume 19, Issue 11, November 2014, Pages 3988--3993], Communications in Nonlinear Science and Numerical Simulation. 2015, 26: 195-200. (SCI收录)

164.  Ri-An Yan, Shu-Rong Sun, Dian-Wu Yang, The existence of solutions for boundary value problems of two types fractional hybrid differential equations, Journal of Applied Mathematics and Computing. 2015, 48 (1-2) :187-203. (EI收录)

165.  Yizhuo Wang, Zhenlai Han, and Shurong Sun, Comment on ``On the oscillation of fractional-order delay differential equations with constant coefficients" [Commun. Nonlinear. Sci.Volume 19, Issue 11, November 2014, Pages 3988--3993], Communications in Nonlinear Science and Numerical Simulation. 2015, 26: 195-200. (SCI收录)

166.  Zhenlai Han,Hongling Lu and Chao Zhang, Positive solutions for eigenvalue problems of fractional differential equation with generalized p-Laplacian, Applied Mathematics and Computation, 2015, 257: 526-536. (SCI收录)

167.  Xinhui Li,Zhenlai Han, Xicheng Li. Boundary value problems of fractional q-difference Schroinger equations, Applied Mathematics Letters, 2015,46:100-105. (SCI收录)

168.      Wenquan Feng, Shurong Sun, Ying Sun, Existence of positive solutions for a generalized and fractional ordered Thomas-Fermi theory of neutral atoms, Advances in Difference Equations, 2015, 2015 (350): 1-16. (SCI收录)

169.      Bingxian Li, Shurong Sun, Ping Zhao, Zhenlai Han, Existence and multiplicity of positive solutions for a class of fractional differential equations with three-point boundary value conditions, Advances in Difference Equations, 2015,2015(383):1-19. (SCI收录)

170.  Ri-An Yan, Shu-Rong Sun, Dian-Wu Yang, The existence of solutions for boundary value problems of two types fractional hybrid differential equations, Journal of Applied Mathematics and Computing. 2015, 48 (1-2) :187-203. (EI收录)

171.  Xiaoguang Qi *, Yong Liu and Lianzhong Yang, The growth of the solutions of certain type of difference equations, Taiwan. J. Math. 19, 793-801, 2015  (SCI收录)

172.  Xiaoguang Qi * and Lianzhong Yang, On properties of meromorphic solutions of certain type of q-difference equations, Electron. J. Differ. Eq. No. 59, 1-9, 2015  (SCI收录)

173.  Xiaoguang Qi *, Yong Liu and Lianzhong Yang, On meromorphic solutions of certain type of difference equations, Bull. Iranian Math. Soc. 41, 281-289, 2015  (SCI收录)

174.  Xiaoguang Qi *, Yinhong Cao and Yong Liu, On properties of entire solutions of difference equations and difference polynomials, Math. Slovaca 65, 545–554, 2015  (SCI收录)

175.  Xicheng Li, Xiuyan Sun. Similarity solutions for phase change problems with fractional governing equations, Applied Mathematics Letters, 45 (2015) 7–11. (SCI收录)

176.  G. Chen*, Periodic solutions of superquadratic damped vibration problems, Appl. Math. Comput., 270 (2015), 794-801. SCI收录)

177.  G. Chen*, Superquadratic or asymptotically quadratic Hamiltonian systems: ground state homoclinic orbits, Ann. Mat. Pura Appl., 194 (2015), 903–918. SCI收录)

178.  G. Chen*, Quasilinear elliptic equations with Hardy terms and Hardy-Sobolev critical exponents: nontrivial solutions, Bound. Value Probl., 2015 (2015), 171. SCI收录)

179.  R. Korhonen, N. Li and K. Tohge, Difference analogue of Cartan's second maintheorem for slowly moving periodic targets, Annales Academiae Scientiarum Fennicae-Mathematica. 41(2016), 523-549. (SCI收录)

180.  Zhang Liang*, Tang Xianhua, Multiple homoclinic solutions for indefinite second order discrete Hamilton system with small perturbations, Electronic Journal of Differential Equations, 2015, 273: 1-13.. (SCI收录)

181.  Li, Nan On the existence of solutions of a Fermat-type difference equation.Ann. Acad. Sci. Fenn. Math. 40 (2015), no. 2, 907–921. (SCI收录)

182.  Li, NanKorhonen, RistoYang, Lianzhong Good linear operators and meromorphic solutions of functional equations. J. Complex Anal. 2015, Art. ID 960204, 8 pp. (SCI收录)

183.  Xinhui Li, Zhenlai Han, Shurong Sun, Liying Sun, Eigenvalue problems of fractional q-difference equations with generalized p-Laplacian, Applied Mathematics Letters, 2016, 57:46-53. (SCI收录)

184.  Hao Zhu, Shurong Sun, Yuming Shi1, Hongyou Wu, Dependence of eigenvalues of certain closely discrete, Sturm-Liouville problems, Complex Analysis and Operator Theory, 2016, 10(4): 667-702. (SCI收录)

185.  Xinhui Li, Zhenlai Han, Shurong Sun, Liying Sun, Eigenvalue problems of fractional q-difference equations with generalized p-Laplacian, Applied Mathematics Letters, 2016, 57:46-53. (SCI收录)

186.  Rian Yan, Shurong Sun, Zhenlai Han. Existence of solution of boundary value problems for Caputo fractional differential equations on time scales, Bulletin of the Iranian Mathematical Society, 2016, 42(2):247-262. (SCI收录)

187.  Zhenlai Han, Yibing Sun, Dianwu Yang, Meirong Xu. Interval oscillation criteria for second order damped differential equations with mixed nonlinearities, Bulletin of the Malaysian Mathematical Society,2016,39:861-884. (SCI收录)

188.  Xinhui Li,Zhenlai Han,Shurong Sun, Anti-periodic boundary value problems for fractional q-difference equations, Journal of Applied Mathematics and Computing,2016,50:243-257.(EI收录)

189.  Rian Yan, Shurong Sun, Ying Sun, Existence and multiplicity of solutions for fractional differential equations with parameters, Journal of Applied Mathematics and Computing, 2016,51(1-2):109-125. (EI收录)

190.  Zhenlai Han, Yanan Li, Meizhen Sui, Existence results for boundary value problems of fractional functional differential equations with delay, Journal of Applied Mathematics and Computing, 2016, 51(1-2): 367-381. (EI收录)

191.      Bingxian Li, Shurong Sun, Zhenlai Han, Successively iterative method for a class of high-order fractional differential equations with multi-point boundary value conditions on half-line, Boundary Value Problems, 2016,2016(5):1-16. (SCI收录)

192.      Rian Yan, Shurong Sun, Ying Sun, Existence and multiplicity of solutions for fractional differential equations with parameters, Journal of Applied Mathematics and Computing, 2016,51(1-2):109-125. (EI收录)

193.       Nana Jin, Shurong Sun, Chao Zhang, Zhenlai Han,The existence of solutions for boundary value problems of fractional differential inclusion with a parameter, Journal of Applied Mathematics and Computing 2016, 52(1-2): 387-402. (EI收录)

194.      Bingxian Li, Shurong Sun, Zhenlai Han, Positive solutions for singular fractional differential equations with three-point boundary conditions, Journal of Applied Mathematics and Computing, 2016, 52(1-2): 477-488. (EI收录)

195.       Wenquan Feng, Shurong Sun, Xiaoguang Qi, Positive solutions to singular fractional differential equations with nonlinear boundary conditions, International Journal of Dynamical Systems and Differential Equations, 2016,6(3):203-218. (EI收录)

196.      Said R. Grace, Taher S. Hassan, Shurong Sun, and Elvan Akin,Qualitative Analysis on Differential, Fractional Differential, and Dynamic Equations and Related Topics, Discrete Dynamics in Nature and Society,Volume 2016, Article ID 3590319, 2 pages. (SCI收录)

197.      Said R. Grace, Shurong Sun, Elvan Akin. Oscillation criteria for certain fourth order nonlinear delay differential equations, Mediterranean Journal of Mathematics,.2016, 13(5), 2383-2396(SCI收录)

198.      Yunlong Shi, Zhenlai Han, Ying Sun,Oscillation criteria for a generalized Emden-Fowler dynamic equation on time scales, Advances in Difference Equations, 2016,2016(3):1-12. (SCI收录)

199.      Xinhui Li,Zhenlai Han,Shurong Sun, Anti-periodic boundary value problems for fractional q-difference equations, Journal of Applied Mathematics and Computing,2016,50:243-257. (EI收录)

200.      Kuikui Ma, Zhenlai Han, Yongxiang Zhang,Stability conditions of a coupled system of fractional q-difference Lotka-Volterra model, International Journal of Dynamical Systems and Differential Equations, 2016,6(4):305-317. (EI收录)

201.  G. Chen*, S. Ma, Z-Q. Wang, Standing waves for discrete Schrödinger equations in infinite lattices with saturable nonlinearities, J. Differential Equations, 2016, 261:3493-3518..  SCI收录)

202.  G. Chen*, L. Li, J. Sun, Multiple results of damped systems with general nonlinearities, Adv. Nonl. Stud., 16(2) (2016), 345-353.  (SCI收录

203.  G. Chen*, Homoclinic orbits of first order nonlinear Hamiltonian systems with asymptotically linear nonlinearities at infinity, Topol. Methods Nonlinear Anal.,(2016, 47(2): 499-510. SCI收录)

204.  G. Chen*, M. Schechter, Non-periodic discrete Schrödinger equations: Ground state solutions, Z. Angew. Math. Phys., 2016, 67(3):1-15.  (SCI收录)

205.  G. Chen*, Damped vibration problems with nonlinearities being sublinear at both zero and infinity, Math. Meth. Appl. Sci., 39 (2016), 1505-1512. (SCI收录)

206.  L. Jia, G. Chen*, Multiple solutions of discrete Schrödinger equations with growing potentials, Adv. Difference Equ., 2016 (2016), 275.  (SCI收录)

207.  Xiaoguang Qi *, Lianzhong Yang and Yong Liu, Meromorphic solutions of q-shift difference equations, Math. Slovaca 66, 667–676, 2016. (SCI收录)

208.  Xiaoguang Qi *, Yong Liu and Lianzhong Yang, Uniqueness of meromorphic functions with their difference operators, J. Comput. Anal. Appl. 21, 784-790, 2016.(SCI收录)

209.  Zhang Liang*, Tang Xianhua, Chen Yi, Infinitely many solutions for quasilinear Schrödinger equations under broken situations, Topological Methods in Nonlinear Analysis, 2016, 48: 539-554. (SCI收录)

210.  Zhang Liang*, Tang Xianhua, Chen Yi, Infinitely many solutions for a class of indefinite biharmonic equation under symmetry breaking situations, Complex Variables and Elliptic Equation, 2016, 61: 1334-1352. (SCI收录)

211.  Zhang Liang*, Tang Xianhua, Chen Yi, Infinitely many homoclinic solutions for a class of indefinite perturbed second-order Hamiltonian systems, Mediterranean Journal of Mathematics, 2016, 16: 3673-3690. (SCI收录)

212.  Zhang Liang*, Tang Xianhua, Chen Yi, Infinitely many solutions for indefinite quasilinear Schrodinger equations under broken symmetry situations, Mathematical Methods in the Applied Sciences, Doi: 10.1002/mma.4030. (SCI收录)

213.  Korhonen, RistoLi, NanTohge, Kazuya Difference analogue of Cartan's second main theorem for slowly moving periodic targets. Ann. Acad. Sci. Fenn. Math. 41 (2016), no. 2, 523–549. (SCI收录)

214.  Li, NanYang, LianzhongLiu, Kai A further result related to a conjecture of R. Brück. Kyungpook Math. J. 56 (2016), no. 2, 451–464.  (SCI收录)

215.  Shurong Sun, Yige Zhao, Ping Zhao, Zhenlai Han, Theory of hybrid differential equations on time scales, Bulletin of the Iranian Mathematical Society,2017,43(3):707-725.

216.   Nana Jin, Shurong Sun, On a coupled system of fractional compartmental models for a biological system, Advances in Difference Equations,2017,2017(146):1-30. (SCI收录)\

217.  Qiuping Li, Chuanxia Hou, Liying Sun, Zhenlai Han, Existence and uniqueness for a kind of multi--term fractional differential equations, Journal of Applied Mathematics and Computing. 2017, 53: 383-395. (EI收录)

218.  Bingxian Li, Shurong Sun, Ying Sun, Existence of solutions for fractional Langevin equation with infinite-point boundary conditions, Journal of Applied Mathematics and Computing,2017,53(1):683-692. (EI收录)

219.  Bingxian Li, Shurong Sun, Guanwei Chen, Existence and nonexistence of positive solutions for integral boundary value problems of high-order fractional differential equations with generalized $p$-Laplacian operator, International Journal of Dynamical Systems and Differential Equations, 2017,7(1):18-35. (EI收录)

220.  Yongshun Zhao, Shurong Sun, Yongxiang Zhang, Existence and uniqueness of solutions to a fractional difference equation with p-Laplacian operator, Journal of Applied Mathematics and Computing, 2017, 54(1):183-197.(EI收录)

221.      Hui LiZhenlai Han, and Shurong Sun, The distribution of zeros of oscillatory solutions for second order nonlinear neutral delay differential equations, Applied Mathematics Letters, 2017,63:14-20. (SCI收录)

222.      Yizhuo Wang, Zhenlai Han, Shurong Sun, Ping Zhao, Hille and Nehari type oscillation criteria for third-order Emden-Fowler neutral delay dynamic equations. Bulletin of the Malaysian Mathematical Society, 2017,40:1187-1217.   (SCI收录)

223.       Kuikui Ma, Shurong Sun, Zhenlai Han, Existence of solutions of boundary value problems for singular fractional q-difference equations, Journal of Applied Mathematics and Computing,2017,54(1):23-40.(EI收录)

224.      Yibing Sun, Zhenlai Han, Yongxiang Zhang, On the oscillation for third-order nonlinear neutral delay dynamic equations on time scales, Journal of Applied Mathematics and Computing,2017,54(1):243-261. (EI收录)

225.      L. Jia, G. Chen*, Discrete Schrödinger equations with sign-changing nonlinearities: Infinitely many homoclinic solutions, J. Math. Anal. Appl., 452 (2017), 568-577.    (SCI收录)

226.      G. Chen*, Multiple homoclinics for nonperiodic damped systems with superlinear terms, Bull. Malays. Math. Sci. Soc., (2017), DOI: 10.1007/s40840-016-0396-1.    (SCI收录)

227.      G. Chen*, Infinitely many small negative energy periodic solutions for second order Hamiltonian systems without spectrum 0, Houston J. Math., (2017), In press.     (SCI收录)

228.  G. Chen*, Multiple solutions of superliner cooperative elliptic systems at resonant, Nonlinear Anal. RWA, 34 (2017), 264-274.  (SCI收录)

229.  Xiaoguang Qi *, Yong Liu and Lianzhong Yang, A note on solutions of some differential-difference equations, J. Contemp. Math. Anal. 52, 128-133, 2017  (SCI收录)

230.  Xiaoguang Qi *, Jia Dou and Lianzhong Yang, Value sharing results for meromorphic functions with their q-shifts, J. Comput. Anal. Appl.. 22, 107-116, 2017  (SCI收录)

231.  Zhang Liang*, Chen Yi, Infinitely many solutions for sublinear indefinite nonlocal elliptic equations perturbed from symmetry, Nonlinear Analysis Theory Methods & Applications, 2017, 151: 126-144. (SCI收录)

232.  Zhang Liang*, Tang Xianhua, Chen Yi, Infinitely many solutions for a class of perturbed elliptic equations with nonlocal operators, Communications on Pure and Applied Analysis, 2017, 16: 823-842. (SCI收录)

233.  Zhang Liang*, Tang Xianhua, Chen Yi, Infinitely many solutions for indefinite quasilinear Schrödinger equations under broken symmetry situations, Mathematical Methods in the Applied Sciences, 2017, 40: 979-991. (SCI收录)

234.  Zhang Liang*, Tang Xianhua, Chen Yi, Infinitely many solutions for indefinite impulsive differential equations perturbed from symmetry, Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A. Matematicas, 2017, 111: 753-764. (SCI收录)

235.  Li, Nan;  Korhonen, RistoYang, Lianzhong Nevanlinna uniquenessof linear difference polynomials. Rocky Mountain J. Math. 47 (2017), no. 3, 905-926. (SCI收录)

236.  Li, NanYang, Lianzhong Solutions of nonlinear difference equations. J. Math. Anal. Appl. 452 (2017), no. 2, 1128–1144. (SCI收录)

 

 八、出版专著:

1. 韩振来,孙书荣. 时间尺度上动态方程振动理论, 济南: 山东大学出版社出版,2014.

2. 陈文, 孙洪广, 李西成. 力学与工程问题的分数阶导数建模. 北京:科学出版社, 2010.

 

 
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