| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 840843 | Nonlinear Analysis: Theory, Methods & Applications | 2012 | 9 Pages |
Abstract
In this paper we study the existence of nontrivial homoclinic solutions for a second order differential equation of the form q̈+Aq̇−L(t)q+Wq(t,q)=0. Here, we assume that AA is a antisymmetric constant matrix, L(t)L(t) is a continuous positive definite symmetric matrix valued function depending periodically on tt and assume that potential WW is asymptotically quadratic as |q|→0|q|→0 and |q|→∞|q|→∞.
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Authors
Wenzhuang Zhu,