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

Peng Mei and Zhan Zhou

Mathematical Problems in Engineering, 2019, vol. 2019, 1-8

Abstract:

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

Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:3624842

DOI: 10.1155/2019/3624842

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