寇春海的个人简介
寇春海,1963年6月出生。应用数学学科教授。中国数学会理事,上海非线性科学研究会会员。长期从事常微分方程、泛函微分方程、脉冲微分方程、分数阶微分方程理论及其应用研究,在微分方程基本理论、边值问题、振动性、稳定性以及非线性系统镇定设计等方面,取得一系列研究成果,已发表学术论文50余篇。
研究方向
1、微分方程与动力系统
2、分数阶微分方程理论及其应用
3、非线性系统稳定性分析
获奖情况
曾荣获山西省科技进步一等奖、上海交通大学优秀博士后、天祥奖等
主要论文
论文:
[1] F.Ge,C. kou. Stability analysis by Krasnoselskiiu2019s fixed point theorem for nonlinear fractional differential equations.Applied Mathematics and Computation,257 (2015), 308-316
[2] R. Liu,C. Kou,X. Xie. Multiple positive solutions of boundary value problems for fractional order integro-differential equations in a Banach space.Boundary Value Problems, 2013:79
[3] R. Liu,C. Kou,X. Xie.Existence Results for a Coupled System of Nonlinear Fractional Boundary Value Problems at Resonance.Mathematical problems in engineering,2013, Article ID 267386
[4] Y. Yan,C. Kou. Stability analysis for a fractional differential model of HIV infection of CD4 T-cells with time delay.Mathematics and Computers in Simulation,82 (2012) 1572u20131585
[5] C. Kou,H. Zhou, C. Li.Existence and continuation theorems of Riemann-Liouville type fractional differential equations.International Journal of Bifurcation and Chaos, Vol. 22, No. 4 (2012).
[6] H. Zhou, C. Kou, F. Xie. Existence of solutions for fractional differential equations with multi-point boundary conditions at resonance on a half-line,Electronic Journal of Qualitative Theory of Differential Equations, 2011, No. 27, 1-16;
[7]C. Kou,H. Zhou, Y. Yan. Existence of solutions of initial value problems for nonlinear fractional differential equations on the half-axis.Nonlinear Analysis,74 (2011), 5975u20135986
[8] H. Zhou,C. Kou, W. Song. Some results for nonlinear (n+1)-term fractional integrodifferential inclusions with multipoint boundary conditions.ISRN Mathematical Analysis,Vol. 2011, Article ID 436045, 20 pages
[9]C. Kou, J. Liu, Y. Yan. Existence and uniqueness of solutions for the Cauchy-type problems of fractional differential equations.Discrete Dynamics in Nature and Society, Vol. 2010, Article ID 142175, 15 pages
[10]C. Kou, S. Zhang. Stability in terms of two measures for delay differential systems,Applied Mathematics and Mechanics, 2002,23 (3), 311-320(SCI、EI, SCI IDS Number: 556FJ)
[11]C. Kou,S. Zhang,Y. Duan. Variational Lyapunov method and stability analysis for impulsive delay differential equations,Computers & Mathematics with Applications, 46(2003), 1761- 1777. (SCI、EI, EI检索号No 03517786106, SCI IDS Number: 750UM).
[12]C. Kou, S. Zhang, S. Wu. Stability Analysis in terms of two Measures for Impulsive Differential Equations,Journal of London Mathematical Society, (2) 66 (2002).142-152. ( SCI IDS Number: 594PA).
国际交流与合作
2007年9月至2008年9月 法国国家信息与自动化研究所(INRIA)、波尔多第一、第二大学,访问学者
相关信息
讲授课程:本科生: 数学分析常微分方程复变函数 高等数学 数学分析专题
研究生: 微分方程现代理论泛函微分方程动力系统 非线性系统稳定性理论分数阶微分方程
已培养和指导硕士研究生20名 博士研究生6名