CRITICAL POINTS FOR REACTION-DIFFUSION SYSTEM WITH ONE AND TWO UNILATERAL CONDITIONS

被引：0

作者：

Eisner, Jan ^{[1
]}

Zilavy, Jan ^{[1
]}

机构：

[1] Univ South Bohemia, Dept Math, Fac Sci, Branisovska 1760, Ceske Budejovice 37005, Czech Republic

来源：

ARCHIVUM MATHEMATICUM | 2023年 / 59卷 / 02期

关键词：

reaction-diffusion system; critical points; unilateral conditions; BIFURCATION;

D O I：

10.5817/AM2023-2-173

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show the location of so called critical points, i.e., couples of diffusion coefficients for which a non-trivial solution of a linear reaction-diffusion system of activator-inhibitor type on an interval with Neumann boundary conditions and with additional non-linear unilateral condition at one or two points on the boundary and/or in the interior exists. Simultaneously, we show the profile of such solutions.

引用

下载

页码：173 / 180

页数：8

共 50 条

[1] CRITICAL POINTS FOR REACTION-DIFFUSION SYSTEM WITH ONE AND TWO UNILATERAL CONDITIONS
Eisner, Jan
Zilavy, Jan
ARCHIVUM MATHEMATICUM, 2023, 59 (03): : 173 - 180
[2] BIFURCATION POINTS OF REACTION-DIFFUSION SYSTEMS WITH UNILATERAL CONDITIONS
DRABEK, P
KUCERA, M
MIKOVA, M
CZECHOSLOVAK MATHEMATICAL JOURNAL, 1985, 35 (04) : 639 - 660
[3] Bifurcation points for a reaction-diffusion system with two inequalities
Eisner, Jan
Kucera, Milan
Vaeth, Martin
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2010, 365 (01) : 176 - 194
[4] Bifurcation for a reaction-diffusion system with unilateral and Neumann boundary conditions
Kucera, Milan
Vaeth, Martin
JOURNAL OF DIFFERENTIAL EQUATIONS, 2012, 252 (04) : 2951 - 2982
[5] Critical and bifurcation points of reaction-diffusion systems with conditions given by inclusions
Eisner, J
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2001, 46 (01) : 69 - 90
[6] Bifurcation for a reaction-diffusion system with unilateral obstacles with pointwise and integral conditions
Vaeth, Martin
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2011, 12 (02) : 817 - 836
[7] Location of Bifurcation Points for a Reaction-Diffusion System with Neumann-Signorini Conditions
Eisner, Jan
Vaeth, Martin
ADVANCED NONLINEAR STUDIES, 2011, 11 (04) : 809 - 836
[8] STABILITY AND BIFURCATION PROBLEMS FOR REACTION-DIFFUSION SYSTEMS WITH UNILATERAL CONDITIONS
KUCERA, M
LECTURE NOTES IN MATHEMATICS, 1986, 1192 : 227 - 234
[9] Synergistic effect of two inhibitors on one activator in a reaction-diffusion system
Kawaguchi, Satoshi
Mimura, Masayasu
PHYSICAL REVIEW E, 2008, 77 (04):
[10] A variational approach to bifurcation points of a reaction-diffusion system with obstacles and neumann boundary conditions
Eisner, Jan
Kucera, Milan
Vaeth, Martin
APPLICATIONS OF MATHEMATICS, 2016, 61 (01) : 1 - 25

← 1 2 3 4 5 →