Stability properties of positive solutions to partial differential equations with delay

被引：0

作者：

Farkas, Gyula ^{[1
]}

Simon, Peter L. ^{[2
]}

机构：

[1] Istvan Szechenyi Coll, Dept Math, H-9026 Gyor, Hungary

[2] Univ Leeds, Sch Chem, Leeds LS2 9JT, W Yorkshire, England

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2001年

关键词：

semilinear equations with delay; stability of stationary solutions; convex nonlinearity; concave nonlineariry;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We investigate the stability of positive stationary solutions of semilinear initial-boundary value problems with delay and convex or concave nonlinearity. If the nonlinearity is monotone, then in the convex case f(0) <= 0 implies instability and in the concave case f(0) >= 0 implies stability. Special cases are shown where the monotonicity assumption can be weakened or omitted.

引用

页数：8

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