Behavior and stability of positive solutions of nonlinear elliptic boundary value problems arising in population dynamics

被引：19
|
作者：
Umezu, K [1 ]
机构：
[1] Maebashi Inst Technol, Maebashi, Gumma 3710816, Japan
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2002年 / 49卷 / 06期
关键词：
semilinear elliptic problems; nonlinear boundary conditions; behavior of positive solutions; Lyapunov stability; super-sub-solutions; population dynamics;
D O I：
10.1016/S0362-546X(01)00142-0
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The behavior and stability of positive solutions of nonlinear elliptic boundary value problems arising in population dynamics were analyzed. A semilinear elliptic problem with nonlinear boundary conditions was considered. The existence of the steady state of the initial value problem was also verified.
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页码：817 / 840
页数：24
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