QUASI-PERIODIC SOLUTIONS OF NONLINEAR BEAM EQUATIONS WITH QUINTIC QUASI-PERIODIC NONLINEARITIES

被引：0

作者：

Tuo, Qiuju ^{[1
,2
]}

Si, Jianguo ^{[1
]}

机构：

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

[2] Shandong Univ Finance & Econ, Sch Math & Quantitat Econ, Jinan 250014, Shandong, Peoples R China

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2015年

基金：

中国国家自然科学基金;

关键词：

Infinite dimensional Hamiltonian systems; KAM theory; HAMILTONIAN PERTURBATIONS; KAM THEOREM; STABILITY; SYSTEMS; TORI;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we consider the one-dimensional nonlinear beam equations with quasi-periodic quintic nonlinearities u(ll) + u(xxxx) + (B + epsilon phi(t))u(5) = 0 under periodic boundary conditions, where B is a positive constant, epsilon is a small positive parameter, phi(t) is a real analytic quasi-periodic function in t with frequency vector w = (w(1),w(2,)...,w(m)). It is proved that the above equation admits many quasi-periodic solutions by KAM theory and partial Birkhoff normal form.

引用

页数：20

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