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Anti-periodic solutions for a higher order difference equation with p-Laplacian

Kong L., Parsley J., Rizzo K., Russell N.

Journal of Applied Analysis

2017

Vol. 23, nr 2

111--125

A higher order difference equation is studied. The equation is defined onℤand contains a p-Laplacian and both advance and retardation. Some criteria are established for the existence of infinitely many anti-periodic solutions of the equation. Several consequences of the main theorems are also included. Two examples are provided to illustrate the applicability of the results.