Homoclinic Solutions for a Higher Order ϕc-Laplacian Difference Equation Containing Both Advance and Retardation

We consider a 2mth-order nonlinear difference equation containing both advance and retardation with ϕc-Laplacian. Using the critical point theory, some new and concrete criteria for the existence of homoclinic solutions with mixed nonlinearities are obtained.

Bibliographic Details
Main Authors: Peng Mei, Zhan Zhou
Format: Article
Language:English
Published: Hindawi Limited 2019-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2019/3624842