Homoclinic solutions of 2nth-order difference equations containing both advance and retardation

By using the critical point method, some new criteria are obtained for the existence and multiplicity of homoclinic solutions to a 2nth-order nonlinear difference equation. The proof is based on the Mountain Pass Lemma in combination with periodic approximations. Our results extend and improve some...

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Bibliographic Details
Main Authors: Long Yuhua, Zhang Yuanbiao, Shi Haiping
Format: Article
Language:English
Published: De Gruyter 2016-01-01
Series:Open Mathematics
Subjects:
Online Access:https://doi.org/10.1515/math-2016-0046