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] Existence and Asymptotic Behavior of Solutions of Boundary Value Problems for Tiknohov-Type Reaction-Diffusion Systems in the Case of Stability Exchange
Nefedov, N. N.
MATHEMATICAL NOTES, 2024, 116 (5-6) : 1332 - 1338
[42] Morse index and symmetry for elliptic problems with nonlinear mixed boundary conditions
Damascelli, Lucio
Pacella, Filomena
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 2019, 149 (02) : 305 - 324
[43] A unified monotone iterative technique for semilinear elliptic boundary value problems
Köksal, S
Lakshmikantham, V
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2002, 51 (04) : 567 - 586
[44] OBSTACLE PROBLEMS FOR DEGENERATE ELLIPTIC EQUATIONS WITH NONHOMOGENEOUS NONLINEAR BOUNDARY CONDITIONS
Andreu, Fuensanta
Igbida, Noureddine
Mazon, Jose M.
Toledo, Julian
MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, 2008, 18 (11) : 1869 - 1893
[45] Elliptic problems in the half-space with nonlinear critical boundary conditions
Furtado, Marcelo Fernandes
de Sousa, Karla Carolina Vicente
PARTIAL DIFFERENTIAL EQUATIONS AND APPLICATIONS, 2021, 2 (06):
[46] Stability of persistent solutions to a population dynamics model
Skakauskas, Vladas
Stikoniene, Olga
APPLIED MATHEMATICS AND COMPUTATION, 2012, 218 (17) : 8987 - 8996
[47] ASYMPTOTIC BEHAVIOR OF SOLUTIONS TO NONLINEAR PARABOLIC EQUATION WITH NONLINEAR BOUNDARY CONDITIONS
Boni, Theodore K.
Nabongo, Diabate
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2008,
[48] Positive solutions of quasilinear parabolic systems with nonlinear boundary conditions
Pao, C. V.
Ruan, W. H.
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 333 (01) : 472 - 499
[49] Existence and regularity for a class of nonlinear hyperbolic boundary value problems
Hokkanen, VM
Morosanu, G
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2002, 266 (02) : 432 - 450
[50] Existence and multiplicity results for quasilinear elliptic exterior problems with nonlinear boundary conditions
Zhao, Leiga
Li, Anran
Su, Jiabao
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2012, 75 (04) : 2520 - 2533

← 1 2 3 4 5 →