Homoclinic solutions for second-order non-autonomous Hamiltonian systems without global Ambrosetti-Rabinowitz conditions

This article studies the existence of homoclinic solutions for the second-order non-autonomous Hamiltonian system $$ ddot q-L(t)q+W_{q}(t,q)=0, $$ where $Lin C(mathbb{R},mathbb{R}^{n^2})$ is a symmetric and positive definite matrix for all $tin mathbb{R}$. The function $Win C^{1}(mathbb{R}ime...

Full description

Bibliographic Details

Published in:	Electronic Journal of Differential Equations
Main Authors:	Rong Yuan, Ziheng Zhang
Format:	Article
Language:	English
Published:	Texas State University 2010-02-01
Subjects:	Homoclinic solutions critical point variational methods mountain pass theorem
Online Access:	http://ejde.math.txstate.edu/Volumes/2010/29/abstr.html