【综合简介】

李连忠，男，中共党员，江南大学数学与数据科学学院教授、硕士生导师。

教学方面，长期从事数学分析、常微分方程、高等数学等课程的教学工作，担任全国大学生数学竞赛的指导教师。

科研方面，长期从事常微分方程定性理论、稳定性理论、动力系统及偏微分方程理论相关的科研工作，在J. Math. Anal. Appl.，Qualitative Theory of Dynamical Systems等权威数学期刊发表学术论文50多篇，有20多篇被SCI检索收录。美国数学评论评论员，多家国内外杂志审稿人，主持和参与多项国家自然科学基金项目及省部级科研项目。。

【工作及研究经历】：

1999.07—2014.08，泰山学院数学与统计学院工作；

2014.09—至 今， 江南大学数学与数据科学学院工作；

2008.09—2011.06，曲阜师范大学数学科学学院，获博士学位；

2012.09—2014.07，上海师范大学数理学院应用数学专业博士后。

【研究领域】

常微分方程定性理论、稳定性理论、动力系统、偏微分方程理论

【主要论著】（著作和论文）

主要论文：:

[1] S. Li, L. Li*, Painlevé Integrability, Auto-Bäcklund Transformation and Exact Solutions of an Extended (3+1)-Dimensional Boussinesq Equation[J]. Qualitative Theory of Dynamical Systems, (2025) 24:110                                                                                                

[2] J. Huang, L. Li*, Painlevé integrability,exact solutions and stability analysis for a new extended (3+1)-dimensional BKP equation[J]. Journal of Applied Mathematics and Computing, 2025(71). 385-403.

[3] X. Guo, L. Li*, Auto-Bäcklund Transformation and Exact Solutions for a New Integrable (3+1)-dimensional KdV-CBS Equation[J].Qualitative Theory of Dynamical Systems, (2024) 23:207

[4] X. Jiang, L. Li*, Similarity Reductions, Power Series Solutions, and Conservation Laws of the Time-Fractional Mikhailov-Novikov-Wang System [J]. Fractal and Fractional. 2023, 7, 457

[5] S. Li, L. Li*, N-soliton, breather solutions, lump waves and hybrid solutions of a generalized (2+1)-dimensional boussinesq equation[J]. Phys.Scr. 100 (2025) 075211

[6] J. Huang, L. Li*,Soliton Solutions, Resonance Solitons, and Some Novel Hybrid Interaction Solutions for a (3+1)-Dimensional BKP Equation in Nonlinear Optics[J].Computational Mathematics and Mathematical Physics, 2025.65(10). 2439-2455.

[7] X. Guo, L. Li*, Auto-Bäcklund transformation and exact solutions for a new Integrable (2+1)-dimensional shallow water wave equation[J]. Phys.Scr. 99 (2024) 115233

[8] X. Li, L. Li*, A New (3+1)-Dimensional Extension of the Kadomtsev-Petviashvili-Boussinesq-like Equation: Multiple-Soliton Solutions and Other ParticularSolutions[J]. Symmetry. 2024, 16, 1345.

[9] Z. Qi, L. Li*, Lie symmetry analysis, conservation laws and diverse solutions of a new extended (2+1)-dimensional Ito equation[J]. AIMS Mathematics, (2023) 8(12): 29797-29816.

[10] C. Huo, L. Li*, Lie Symmetry Analysis, Particular Solutions and Conservation Laws of a New Extended (3+1)-Dimensional Shallow Water Wave Equation[J]. Symmetry 2022, 14, 1855.

[11] R. Li, L. Li*, Exact Solutions and Conservation Laws of the time-Fractional Gardner Equation with Time-Dependent Coefficients[J].Symmetry 2021, 13, 2434.

[12] Y. Wang, L. Li*, Lie Symmetry Analysis, Analytical Solution, and Conservation Laws of a Sixth-Order Generalized Time-Fractional Sawada-Kotera Equation[J]. Symmetry 2019, 11, 1436.

[13] F, He, L. Li*, Time fractional modified KdV-type equations: Lie symmetries, exact solutions and conservation laws[J]. Open Phys. 2019; 17:480-488.

[14] L. Li*, M. Han, Y. liu, Existence and uniqueness of traveling wave front of a nonlinear singularly perturbed system of reaction-diffusion equations with a Heaviside step function[J]. J. Math. Anal. Appl. 410(2014) 202–212.

[15] L. Li*, M. Han, Some new dynamic Opial type inequalities and applications for second order integro-differential dynamic equations on time scales[J]. Appl. Math. Comput. 232 (2014) 542–547.

[16] L. Li*, M. Han, X. Xue and Y. liu, y- Stability of nonlinear Volterra integro-differential systems with time delay[J]. Abstract and Applied Analysis, (2013),1 -5.

[17] L. Li*, Generalized double integral inequalities and their applications in studying the stability of nonlinear integro-differential systems with time delay[J]. Journal of Dynamical and Control Systems, 19(2013):457–469.

[18] L. Li*, F. Meng, P. Ju. Some new integral inequalities and their applications in studying the stability of nonlinear integro-differential equations with time delay[J]. J. Math. Anal. Appl. 377(2011):853-862.

[19] L. Li*, F. Meng, L. He. Some generalized integral inequalities and their applications[J]. J. Math. Anal. Appl. 372(2010):339-349 .

[20] L. Li*, F. Meng, Zh. Zheng. Some New Oscillation Results For Linear Hamiltonian System[J]. Appl. Math. Comput. 208(2009): 219-224.

[21] L. Li*, F. Meng, Zh. Zheng. Oscillation Results Related to Integral Averaging Technique For Linear Hamiltonian Systems[J]. Dynamic Systems and Applications. 18(2009): 725-736.

[22] F. Meng, L. Li*, Y. Bai, y- stability of nonlinear Volterra integro-differential systems[J]. Dynamic Systems and Applications. 20(2011): 563-574.

[23]Y. Tian , Y. Cai , L. Li and T. Li, Some dynamic integral inequalities with mixed nonlinearities on time scales[J]. Journa lof Inequalities and Applications. ( 2015) 2015:12

[24] L. Li*, F. Meng, Zh. Zheng. Oscillation results for higher even order nonlinear partial functional differential equations of neutral type[J]. Journal of Applied Mathematics and Computating. 35 (2011): 431-442 .

[25] L. Li, N. Li, Y. Liu and L. Zhang*, Existence and uniquess of a traveling wave front of a model equation in synaptically coupled neuronal networks[J]. Journal of Applied Analysis and Computation,3(2013): 145-167.

[26] H. Dai, L. Li*, Y. Wang and F. He, Symmetry Reductions, Dynamical Behavior and Exact Explicit Solutions to the Combined sinh-cosh-Gordon Equation[J], Advances in Mathematics (数学进展), 47(6)(2018).

[27] A. Sha and L. Li*, Backlund Transformation, Painleve Test and Exact Solutions for a Generalized Variable Coefficient mKdV Equation[J], Mathematica Applicata(应用数学), 2018, 31(4): 890-897.

主要著作：

[1] 《高等数学学习指导与练习》，苏州大学出版社，2025.6.

[2] 《数学模型简明教程》，天津教育出版社，2010.10

【科研、教学项目】

科研项目：

1.山东省自然科学基金 ZR2012AL03 非线性积分—微分方程解的定性性质及其稳定性分析与应用, 2012/12-2015/12,4万元，项目主持人；

2.山东省教育厅科技计划项目 J06P55微分方程及其模型理论与应用研究，2006/9-2010/9, 项目主持人；

3.山东省教育厅科技计划项目 J11LA51 微（积）分不等式基础上的微分方程定性理论研究2011/9-2015/9,项目主持人.

【科研、教学成果及获奖】

科研获奖：

1.山东省优秀博士学位论文，2012；

2.山东高等学校优秀科研成果三等奖，第一位次，2012；

3.山东软科学优秀成果三等奖，第一位次，2011.

【荣誉与奖励】

多次荣获校级优秀教师、优秀青年园丁、师德先进个人等荣誉称号.

【在读硕、博士人数】

硕士 6人

【已毕业硕、博士人数】

硕士 13人

【招生对象】

微分方程、动力系统方向硕士

【以上资料更新日期】

2026年4月