A Lyapunov functional for a triangular reaction-diffusion system with nonlinearities of exponential growth

被引：7

作者：

Abdelmalek, S. ^{[1
,2
]}

Kirane, M. ^{[3
]}

Youkana, A. ^{[4
]}

机构：

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

[2] Larbi Tebessi Univ, Dept Math, Tebessa 12002, Algeria

[3] Univ la Rochelle, F-17142 La Rochelle, France

[4] Univ Batna, Dept Math, Batna 05000, Algeria

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2013年 / 36卷 / 01期

关键词：

reaction-diffusion systems; Lyapunov functional; global existence; BOUNDEDNESS;

D O I：

10.1002/mma.2572

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The aim of this work is to study the global existence of solutions to a triangular system of reactiondiffusion equations, which describes epidemiological or chemical situations. On the basis of the construction of a suitable Lyapunov functional, we show that for any initial data, classical global solutions exist even when the nonlinearities are of exponential growth. Copyright (c) 2012 John Wiley & Sons, Ltd.

引用

页码：80 / 85

页数：6

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