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

被引：0
作者：
Yansheng Ma
Wenqi Lou
机构：
[1] Jilin University,Department of Mathematics
来源：
Acta Applicandae Mathematicae | 2010年 / 112卷
关键词：
Nonlinear wave equation; Quasi-periodic solutions; Small divisors; Lyapunov-Schmidt reduction; Linking Theorem;
D O I：
暂无
中图分类号：
学科分类号：
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 (ω1,ω2) 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：13
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