Existence and monotone scheme for time-periodic nonquasimonotone reaction-diffusion systems: Application to autocatalytic chemistry

被引：19

作者：

Leung, AW ^{[1
]}

Ortega, LA

机构：

[1] Univ Cincinnati, Dept Math Sci, Cincinnati, OH 45221 USA

[2] Univ Nacl Colombia, Dept Math, Bogota, Colombia

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 1998年 / 221卷 / 02期

关键词：

D O I：

10.1006/jmaa.1998.5943

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The article considers time-periodic reaction-diffusion systems. The reaction terms are sums of quasimonotone nondecreasing and nonincreasing functions. Dirichlet and Robin boundary conditions are included. The existence of periodic solutions is shown under appropriate conditions. Monotone approximating sequences closing in on the solutions from above and below are constructed. Application to autocatalysis in chemistry is given. (C) 1998 Academic Press.

引用

页码：712 / 733

页数：22

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