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

• Published in: Journal of mathematical analysis and applications Vol. 451; no. 2; pp. 629 - 658
• Main Authors: Rui, Jie, Liu, Bingchen
• Format: Journal Article
• Language: English
• Published: Elsevier Inc 15.07.2017
• Subjects: Almost-periodic function; Almost-periodic solutions; Infinite dimensional Hamiltonian systems; Wave equations; Infinite dimensional Hamiltonian systems; Almost-periodic solutions; Wave equations; Almost-periodic function

This work focuses on a wave equation with almost-periodic forcing ψ(ωt,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...