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

共 50 条

[1] Positive Solutions of Elliptic Boundary Value Problems and Applications to Population Dynamics
Lan, Kunquan
Lin, Wei
JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS, 2020, 32 (02) : 873 - 894
[2] Positive Solutions of Elliptic Boundary Value Problems and Applications to Population Dynamics
Kunquan Lan
Wei Lin
Journal of Dynamics and Differential Equations, 2020, 32 : 873 - 894
[3] POSITIVE SOLUTIONS OF NONLINEAR ELLIPTIC BOUNDARY-VALUE PROBLEMS
NUSSBAUM, R
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1975, 51 (02) : 461 - 482
[4] EXISTENCE OF POSITIVE SOLUTIONS OF NONLINEAR ELLIPTIC BOUNDARY VALUE PROBLEMS
AMANN, H
INDIANA UNIVERSITY MATHEMATICS JOURNAL, 1971, 21 (02) : 125 - &
[5] Positive radial solutions to nonlinear boundary value problems for semilinear elliptic problems
Erbe, LH
Tang, M
DIFFERENTIAL EQUATIONS AND CONTROL THEORY, 1996, 176 : 45 - 53
[6] UNIQUENESS OF POSITIVE SOLUTIONS OF NONLINEAR ELLIPTIC BOUNDARY-VALUE PROBLEMS
HESS, P
MATHEMATISCHE ZEITSCHRIFT, 1977, 154 (01) : 17 - 18
[7] Positive solutions of nonlinear elliptic singular boundary value problems in a ball
Debnath L.
Xu X.
Journal of Applied Mathematics and Computing, 2004, 15 (1-2) : 237 - 249
[8] Stability analysis for positive solutions for classes of semilinear elliptic boundary-value problems with nonlinear boundary conditions
Goddard, Jerome, II
Shivaji, Ratnasingham
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 2017, 147 (05) : 1019 - 1040
[9] Boundary Behavior of Solutions to Singular Boundary Value Problems for Nonlinear Elliptic Equations
Zhang, Zhijun
Li, Xiaohong
Zhao, Yuanzhang
ADVANCED NONLINEAR STUDIES, 2010, 10 (02) : 249 - 261
[10] Existence and uniqueness of positive solutions for singular nonlinear elliptic boundary value problems
Lei, Peidong
Lin, Xiaonin
Jiang, Daqing
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2008, 69 (09) : 2773 - 2779

← 1 2 3 4 5 →