Existence and numerical approximations of periodic solutions of semilinear fourth-order differential equations

被引：30

作者：

Chaparova, J ^{[1
]}

机构：

[1] Univ Rousse, Ctr Appl Math & Informat, Rousse 7017, Bulgaria

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2002年 / 273卷 / 01期

关键词：

periodic solutions; extended Fisher-Kolmogorov equation; Swift-Hohenberg equation; Clark's multiplicity theorem;

D O I：

10.1016/S0022-247X(02)00216-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A multiplicity result of existence of periodic solutions with prescribed wavelength for a class of fourth-order nonautonomous differential equations related either to the extended Fisher-Kolmogorov or to the Swift-Hohenberg equation is proved. Variational approach is used. Some numerical solutions are calculated via the finite element method. (C) 2002 Elsevier Science (USA). All rights reserved.

引用

页码：121 / 136

页数：16

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