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

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:273

Article

Chaparova, J

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

DOI  :  10.1016/S0022-247X(02)00216-0

来源: Elsevier

【 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.

【 授权许可】

Free