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.
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页码：309 / 322
页数：14
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