Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4620069 | Journal of Mathematical Analysis and Applications | 2009 | 8 Pages |
Abstract
In this paper we discuss how to use the critical point theory to study the existence of a nontrivial homoclinic orbit for nonlinear difference equations containing both advance and retardation without any periodic assumptions. Moreover, if the nonlinearity is an odd function, the existence of an unbounded sequence of homoclinic orbits is obtained.
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