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.

引用

页码：817 / 840

页数：24

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