Homoclinic orbits for second order self-adjoint difference equations

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:323

Article

Ma, Manjun ; Guo, Zhiming

关键词: discrete variational methods;    homoclinic orbits;    difference equations;   

DOI  :  10.1016/j.jmaa.2005.10.049

来源: Elsevier

【 摘 要 】

In this paper we discuss how to use variational methods to study the existence of nontrivial homoclinic orbits of the following nonlinear difference equations Delta[p(t),Delta u(t-1)]+q(t)u(t)=f(t,u(t)), t epsilon Z, without any periodicity assumptions on p(t), q(t) and f, providing that f(t, x) grows superlinearly both at origin and at infinity or is an odd function with respect to X E R, and satisfies some additional assumptions. (c) 2005 Elsevier Inc. All rights reserved.

【 授权许可】

Free