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.
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页码：307 / 312
页数：6
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