INVARIANT REGIONS AND GLOBAL SOLUTIONS FOR REACTION-DIFFUSION SYSTEMS WITH A TRIDIAGONAL SYMMETRIC TOEPLITZ MATRIX OF DIFFUSION COEFFICIENTS

被引：0

作者：

Abdelmalek, Salem ^{[1
]}

机构：

[1] Taibah Univ, Coll Sci, Dept Math, Yanbu, Saudi Arabia

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2014年

关键词：

Reaction-diffusion systems; invariant regions; global solution; EXISTENCE; EQUATIONS;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article we construct the invariant regions for m-component reaction-diffusion systems with a tridiagonal symmetric Toeplitz matrix of diffusion coefficients and with nonhomogeneous boundary conditions. We establish the existence of global solutions, and use Lyapunov functional methods. The nonlinear reaction term is assumed to be of polynomial growth.

引用

页数：14

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