ASYMPTOTIC BEHAVIOR OF SOLUTIONS TO THE HEAT EQUATIONS WITH NONLINEAR BOUNDARY CONDITIONS

被引：0

作者：

汤燕斌

周笠

Omer Ali

机构：

[1] Department of Mathematics

[2] Sudan University of Science and Technology

[3] Khartoum

[4] P.O.Box 407

来源：

Acta Mathematica Scientia | 2004年 / 02期

基金：

中国国家自然科学基金;

关键词：

Asymptotic behavior; heat equation; nonlinear boundary condition; upper and lower solutions;

D O I：

暂无

中图分类号：

O411.1 [数学物理方法];

学科分类号：

0701 ; 070104 ;

摘要：

The purpose of this paper is to investigate the stability and asymptotic behavior of the time-dependent solutions to a linear parabolic equation with nonlinear boundary condition in relation to their corresponding steady state solutions. Then, the above results are extended to a semilinear parabolic equation with nonlinear boundary condition by analyzing the corresponding eigenvalue problem and using the method of upper and lower solutions.

引用

页码：307 / 312

页数：6

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