The existence, uniqueness and stability of positive periodic solution for periodic reaction-diffusion system

被引：1

作者：

Liu Yingdong

Li Zhengyuan

Ye Qixiao

机构：

[1] Peking University,Department of Mathematics

[2] Beijing Institute of Technology,Department of Applied Mathematics

[3] Peking University,Institute of Mathematics

来源：

Acta Mathematicae Applicatae Sinica | 2001年 / 17卷 / 1期

关键词：

Periodic upper-lower solution; stability; bifurcation problem;

D O I：

10.1007/BF02669678

中图分类号：

学科分类号：

摘要：

The existence of periodic solutions for periodic reaction-diffusion systems with time delay by the periodic upper-lower solution method is investigated. Some methods for proving the uniqueness and the stability of the periodic solution are also given. Two examples are used to show how to use our methods.

引用

页码：1 / 13

页数：12

共 50 条

[1] THE EXISTENCE,UNIQUENESS AND STABILITY OF POSITIVE PERIODIC SOLUTION FOR PERIODIC REACTION-DIFFUSION SYSTEM
刘迎东
李正元
叶其孝
[J]. Acta Mathematicae Applicatae Sinica, 2001, (01) : 1 - 13
[2] Existence and uniqueness of the solution of a space-time periodic reaction-diffusion equation
Nadin, Gregoire
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 2010, 249 (06) : 1288 - 1304
[3] Existence and uniqueness of periodic solutions for a nonlinear reaction-diffusion problem
Badii, M
[J]. PUBLICACIONS MATEMATIQUES, 2000, 44 (01) : 295 - 307
[4] Stability and Existence of Periodic Solution for Delayed Reaction-Diffusion Cellular Neural Networks
Pan, Jie
Zhan, Yongxin
[J]. PROCEEDINGS OF THE 7TH CONFERENCE ON BIOLOGICAL DYNAMIC SYSTEM AND STABILITY OF DIFFERENTIAL EQUATION, VOLS I AND II, 2010, : 976 - 979
[5] EXISTENCE AND UNIQUENESS OF POSITIVE STATIONARY SOLUTION TO A REACTION-DIFFUSION SYSTEM FROM BIOLOGY
WANG, MX
[J]. CHINESE SCIENCE BULLETIN, 1994, 39 (23): : 1943 - 1945
[6] STABILITY OF THE NUMERICAL-SOLUTION OF THE PERIODIC REACTION-DIFFUSION SYSTEMS
GALEONE, L
MASTROSERIO, C
[J]. APPLIED NUMERICAL MATHEMATICS, 1985, 1 (04) : 315 - 324
[7] Existence　and　Stability　for　Periodic　Solution　of　Competition　Reaction－Diffusion　Models　with　Grazing　Rates　in　Population　Dynamics
LIU Yongqing
XIE Shengli
XIE Zhendong(Department of Automation South China University of Technology Guangzhou
[J]. Journal of Systems Science and Systems Engineering, 1996, (04) : 402 - 410
[8] Existence of periodic oscillatory solution of reaction-diffusion neural networks with delays
Zhao, HY
Wang, GL
[J]. PHYSICS LETTERS A, 2005, 343 (05) : 372 - 383
[9] THE EXISTENCE OF PERIODIC-SOLUTIONS TO REACTION-DIFFUSION SYSTEMS WITH PERIODIC DATA
MORGAN, JJ
HOLLIS, SL
[J]. SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1995, 26 (05) : 1225 - 1232
[10] The existence uniqueness and stability of the periodic solution of the time - varing linear system
Zhong, W.
Xiang, Z.
[J]. Jishou Daxue Xuebao/Journal of Jishou University, 2001, 22 (01): : 87 - 89

← 1 2 3 4 5 →