Homoclinic Solutions of a Class of Nonperiodic Discrete Nonlinear Systems in Infinite Higher Dimensional Lattices

Genghong Lin and Zhan Zhou

Abstract and Applied Analysis, 2014, vol. 2014, 1-7

Abstract:

By using critical point theory, we obtain a new sufficient condition on the existence of homoclinic solutions of a class of nonperiodic discrete nonlinear systems in infinite lattices. The classical Ambrosetti-Rabinowitz superlinear condition is improved by a general superlinear one. Some results in the literature are improved.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:436529

DOI: 10.1155/2014/436529

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