Homoclinics for strongly indefinite almost periodic second order Hamiltonian systems

Under certain assumptions, we prove the existence of homoclinic solutions for almost periodic second order Hamiltonian systems in the strongly indefinite case. The proof relies on a careful analysis of the energy functional restricted to the generalized Nehari manifold, and the existence and fine pr...

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Bibliographic Details
Main Author: Pankov Alexander
Format: Article
Language:English
Published: De Gruyter 2017-04-01
Series:Advances in Nonlinear Analysis
Subjects:
Online Access:https://doi.org/10.1515/anona-2017-0041