Invariant regions and existence of global solutions to a generalized m-component reaction-diffusion system with tridiagonal symmetric Toeplitz diffusion matrix

被引：1

作者：

Abdelmalek, Karima ^{[1
]}

Rebiai, Belgacem ^{[1
]}

Abdelmalek, Salem ^{[1
]}

机构：

[1] Univ Tebessa, Dept Math & Informat, LAMIS Lab, Tebessa 12000, Algeria

来源：

ADVANCES IN PURE AND APPLIED MATHEMATICS | 2021年 / 12卷 / 01期

关键词：

Reaction-diffusion system; invariant regions; diagonalization; global solution; Lyapunov functional;

D O I：

10.21494/ISTE.OP.2020.0579

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The aim of this paper is to construct invariant regions of a generalized rn-component reaction-diffusion system with tridiagonal symmetric Toeplitz diffusion matrix and nonhomogeneous boundary conditions and polynomial growth for the nonlinear reaction terms. Using the eigenvalues and eigenvectors of the diffusion matrix and the parabolicity conditions. So we prove the global existence of solutions using Lyapunov functional.

引用

页码：1 / 15

页数：15

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