Quasiperiodic Solutions of Completely Resonant Wave Equations with Quasiperiodic Forced Terms

Yixian Gao, Weipeng Zhang and Jing Chang

Abstract and Applied Analysis, 2014, vol. 2014, 1-15

Abstract:

This paper is concerned with the existence of quasiperiodic solutions with two frequencies of completely resonant, quasiperiodically forced nonlinear wave equations subject to periodic spatial boundary conditions. The solutions turn out to be, at the first order, the superposition of traveling waves, traveling in the opposite or the same directions. The proofs are based on the variational Lyapunov-Schmidt reduction and the linking theorem, while the bifurcation equations are solved by variational methods.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:649270

DOI: 10.1155/2014/649270

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