Quasi-periodic Solutions of Completely Resonant Wave Equations with Quasi-periodically forced Vibrations

被引：1

作者：

Ma, Yansheng ^{[1
]}

Lou, Wenqi ^{[1
]}

机构：

[1] Jilin Univ, Dept Math, Jilin, Peoples R China

来源：

ACTA APPLICANDAE MATHEMATICAE | 2010年 / 112卷 / 03期

关键词：

Nonlinear wave equation; Quasi-periodic solutions; Small divisors; Lyapunov-Schmidt reduction; Linking Theorem;

D O I：

10.1007/s10440-010-9574-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we provide the existence of quasi-periodic solutions with two frequencies for a class of completely resonant nonlinear wave equations with quasi-periodically forced vibrations under the spatial periodic boundary conditions. We consider the frequencies vector (omega(1),omega(2)) near the linear system. The proofs are based on the Variational Lyapunov-Schmidt reduction and Linking Theorem.

引用

页码：309 / 322

页数：14

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