Almost-periodic solutions of an almost-periodically forced wave equation

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:451

Article

Rui, Jie¹  Liu, Bingchen¹ 

[1] China Univ Petr East China, Coll Sci, Qingdao 266555, Shandong, Peoples R China

关键词: Infinite dimensional Hamiltonian systems;    Wave equations;    Almost-periodic solutions;    Almost-periodic function;   

DOI  :  10.1016/j.jmaa.2017.02.036

来源: Elsevier

【 摘 要 】

This work focuses on a wave equation with almost-periodic forcing psi(omega t,x) subject to Dirichlet boundary conditions. For the equation we obtain almost-periodic solutions corresponding to full-dimensional invariant tori of an associated infinite dimensional dynamical system. The proof is based on the reducibility via an improved KAM theory. (C) 2017 Elsevier Inc. All rights reserved.

【 授权许可】

Free