Existence of weak quasi-periodic solutions for a second order Hamiltonian system with damped term via a PDE approach

In this paper, we investigate the existence of weak quasi-periodic solutions for the second order Hamiltonian system with damped term: \begin{equation} \ddot{u}(t)+q(t)\dot{u}(t)+D W(u(t))=0, \qquad t\in \mathbb R,\tag{HSD} \end{equation} where $u:\mathbb R\to \mathbb R^n$, $q:\mathbb R\to...

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Bibliographic Details
Main Authors: Xingyong Zhang, Liben Wang
Format: Article
Language:English
Published: University of Szeged 2016-11-01
Series:Electronic Journal of Qualitative Theory of Differential Equations
Subjects:
Online Access:http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=4533