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
收藏
页码：121 / 136
页数：16
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