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, issue 1

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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https://doi.org/10.1155/2014/436529

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:436529

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