Quasi-periodic solutions of a non-autonomous wave equations with quasi-periodic forcing

被引：20

作者：

Si, Jianguo ^{[1
]}

机构：

[1] Shandong Univ, Sch Math, Jinan 250100, Shandong, Peoples R China

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2012年 / 252卷 / 10期

基金：

中国国家自然科学基金;

关键词：

Infinite-dimensional Hamiltonian systems; KAM theory; Non-autonomous wave equations; Quasi-periodic solutions; Invariant torus; HAMILTONIAN PERTURBATIONS; FORCED VIBRATIONS; STABILITY; FAMILIES; SYSTEMS;

D O I：

10.1016/j.jde.2012.01.034

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we prove existence of small amplitude quasi-periodic solutions for a non-autonomous, quasi-periodically forced nonlinear wave equations with periodic spatial boundary conditions via RAM theory. (C) 2012 Elsevier Inc. All rights reserved.

引用

页码：5274 / 5360

页数：87

共 50 条

[1] Quasi-periodic solutions of nonlinear wave equations with quasi-periodic forcing
Zhang, Min
Si, Jianguo
[J]. PHYSICA D-NONLINEAR PHENOMENA, 2009, 238 (22) : 2185 - 2215
[2] Quasi-periodic solutions of two dimensional SchrOdinger equations with Quasi-periodic forcing'
Zhang, Min
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2016, 135 : 1 - 34
[3] QUASI-PERIODIC SOLUTIONS FOR NON-AUTONOMOUS MKDV EQUATION
Cui, Wenyan
Mi, Lufang
Yin, Li
[J]. INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2018, 49 (02): : 313 - 337
[4] Quasi-Periodic Solutions for Non-Autonomous mKdV Equation
Wenyan Cui
Lufang Mi
Li Yin
[J]. Indian Journal of Pure and Applied Mathematics, 2018, 49 : 313 - 337
[5] Quasi-periodic solutions of Schrodinger equations with quasi-periodic forcing in higher dimensional spaces
Zhang, Min
Rui, Jie
[J]. JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2017, 10 (07): : 3670 - 3693
[6] QUASI-PERIODIC SOLUTIONS OF GENERALIZED BOUSSINESQ EQUATION WITH QUASI-PERIODIC FORCING
Shi, Yanling
Xu, Junxiang
Xu, Xindong
[J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2017, 22 (06): : 2501 - 2519
[7] Quasi-periodic solutions for generalized Kaup system with quasi-periodic forcing
Shi, Yanling
Xu, Xindong
[J]. JOURNAL OF MATHEMATICAL PHYSICS, 2018, 59 (11)
[8] QUASI-PERIODIC SOLUTIONS OF QUASI-PERIODIC DIFFERENTIAL-EQUATIONS
BALBI, JH
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1981, 80 (02) : 490 - 496
[9] Quasi-periodic solutions for nonlinear wave equations
Wang, Wei-Min
[J]. COMPTES RENDUS MATHEMATIQUE, 2015, 353 (07) : 601 - 604
[10] Quasi-periodic Solutions for a Class of Higher Dimensional Beam Equation with Quasi-periodic Forcing
Yanling Shi
Junxiang Xu
Xindong Xu
[J]. Journal of Dynamics and Differential Equations, 2019, 31 : 745 - 763

← 1 2 3 4 5 →