Periodic solutions of quasilinear parabolic systems with nonlinear boundary conditions

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• 作者：Qunying Zhang ; Zhigui Lin
• 关键词：Periodic solutions ; Quasilinear parabolic systems ; Nonlinear boundary conditions ; Upper and lower solutions
• 刊名：Nonlinear Analysis
• 出版年：2010
• 出版时间：1 April 2010
• 年：2010
• 卷：72
• 期：7-8
• 页码：3429-3435
• 全文大小：524 K

文摘

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.