人物簡介
何老師的主要研究領域為:非線性
常微分方程的邊值問題,非線性動力系統中的分岔與混沌、隨機與脈衝動力系統、測度鏈上的動力方程。已經在國內外核心期刊上(Journal of Mathematical Analysis and Applications, Nonlinear Analysis: Real World Applications,
Journal of Computational and Applied Mathematics,
Computers & Mathematics with Applications,
Applied Mathematics and Computation,
Chaos, Solitons & Fractals)發表論文幾十篇並多次被他人引用,現為美國《Mathematical Reviews》評論員。
研究方向
非線性動力系統中的分岔與混沌;隨機與脈衝動力系統;時標動態方程;分數階微分方程;生物模型、金融模型的動力學分析等
主講課程
本科生:常微分方程,數學物理方程;
研究生:非線性動力系統與混沌,離散動力系統幾何理論,常微分方程邊值問題, 分數階微分方程
在研項目
1. 時滯反應擴散方程動力性態的研究(
國家自然科學基金)(參加),2005年-2007 年;
2. 時滯微分方程最小周期解及其相關問題研究(國家自然科學基金)(參加),2008年-2010 年.
已完成項目
數學天元基金項目: 隨機脈衝微分方程基本理論的研究(A0324621)
論文
(12) He Zhimin, Lai Xin, Hou Aiyu, Stability and Neimark-Sacker bifurcation of numerical discretization of delay differential equations, Chaos, Solitions and Fractuals., 41(2009), 2010-2017.
(11) He Zhimin and Long Zhiwen, Three positive solutions of three-point boundary value problems for p-Laplacian dynamic equations on time scales, Nonlinear Analysis Series A: Theory, Methods & Applications, 69(2008), 569-578.
(10) He Zhimin and Li Lian, Multiple positive solutions for the one-dimentional p-Laplacian dynamic equations on time scales, Mathematical and Computer Modelling, 45(2007), 68-79. (SCI,EI)
(9) He Zhimin and Jiang Xiaoming, Triple positive solutions of boundary value problem for p-Laplacian dynamic equations on time scales, Journal of Mathematical Analysis and Applications, 321(2006), 911-920 .(SCI)
(8) He Zhimin, Double positive solutions of three-point boundary value problem for p-Laplacian dynamic equations on time scales, Journal of Computational and Applied Mathematics, 182(2005), 304-315. (SCI,EI)
(7) He Zhimin, Existence of two solutions of m-point boundary value problem for second order dynamic equations on time scales, Journal of Mathematical Analysis and Applications, 296(2004), 97-109. (SCI)
(6) He Zhimin and Zhang Xianming, Monotone iterative technique for first order impulsive difference equations with periodic boundary conditions, Applied Mathematics and Computation, 156(2004), 605-620. (SCI,EI)
(5) He Zhimin and He Xiaoming, Periodic boundary value problem for first order impulsive integro-differential equations of mixed type, Journal of Mathematical Analysis and Applications, 296(2004), 8-20. (SCI)
(4) He Zhimin and He Xiaoming, Monotone iterative technique for impulsive integro-differential equations with periodic boundary conditions, Computers and Mathematics with Applications, 48(2004), 73-78. (SCI,EI)
(3) He Zhimin, On the existence of positive solutions of p-Laplacian difference equations, Journal of Computational and Applied Mathematics, 161(2003), 193-201. (SCI,EI)
(2) He Zhimin and Yu Jianshe, Periodic boundary value problem for first-order impulsive ordinary differential equations, Journal of Mathematical Analysis and Applications, 272(2002), 67-78. (SCI)
(1) He Zhimin and Yu Jianshe, Periodic boundary value problem for first-order impulsive functional differential equations, Journal of Computational and Applied Mathematics, 138(2002), 205-217. (SCI,EI)