Periodic solutions of quasilinear parabolic systems with nonlinear boundary conditions

被引：8

作者：

Zhang, Qunying ^{[1
]}

Lin, Zhigui ^{[1
]}

机构：

[1] Yangzhou Univ, Sch Math Sci, Yangzhou 225002, Peoples R China

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2010年 / 72卷 / 7-8期

关键词：

Periodic solutions; Quasilinear parabolic systems; Nonlinear boundary conditions; Upper and lower solutions; REACTION-DIFFUSION SYSTEMS; EXISTENCE;

D O I：

10.1016/j.na.2009.12.026

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with the existence of maximal and minimal periodic solutions of a class of quasilinear parabolic systems with nonlinear boundary conditions. Our approach to the problem is based on the method of upper and lower solutions and its associated monotone iterations. An application is also made to the reaction-diffusion system of Lotka-Volterra competition model. (C) 2009 Elsevier Ltd. All rights reserved.

引用

页码：3429 / 3435

页数：7

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