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

[41] Positive solutions to fractional boundary value problems with nonlinear boundary conditions
Feng, Wenquan
Sun, Shurong
Li, Xinhui
Xu, Meirong
BOUNDARY VALUE PROBLEMS, 2014,
[42] Global behavior of positive solutions of nonlinear three-point boundary value problems
Ma, RY
Thompson, B
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2005, 60 (04) : 685 - 701
[43] Critical points and positive solutions of singular elliptic boundary value problems
Zhang, ZT
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2005, 302 (02) : 476 - 483
[44] Existence of positive solutions of singular elliptic boundary value problems in a ball
Xu, Yingye
Lian, Luanying
Debnath, Lokenath
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2011, 61 (05) : 1335 - 1341
[45] Multiple positive solutions for a class of semilinear elliptic boundary value problems
Maya, C
Shivaji, R
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1999, 38 (04) : 497 - 504
[46] Existence of positive solutions to semilinear elliptic problems with nonlinear boundary condition
Kim, Chan-Gyun
Lee, Eun Kyoung
PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES, 2018, 128 (05):
[47] Existence of positive solutions to semilinear elliptic problems with nonlinear boundary condition
Chan-Gyun Kim
Eun Kyoung Lee
Proceedings - Mathematical Sciences, 2018, 128
[48] Inheritance of symmetry for positive solutions of semilinear elliptic boundary value problems
Kawohl, B
Sweers, G
ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE, 2002, 19 (05): : 705 - 714
[49] UNIQUENESS OF POSITIVE SOLUTIONS FOR A CLASS OF ELLIPTIC BOUNDARY-VALUE PROBLEMS
CASTRO, A
SHIVAJI, R
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 1984, 98 : 267 - 269
[50] On Positive Weak Solutions For Some Nonlinear Elliptic Boundary Value Problems Involving The P-laplacian
Rasouli, S. H.
Afrouzi, G. A.
Vahidi, J.
JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS, 2011, 3 (01): : 94 - 101

← 1 2 3 4 5 →