Boundary Value Problems for Fourth Order Nonlinearp-Laplacian Difference Equations

[摘要] We consider the boundary value problem for a fourth order nonlinearp-Laplacian difference equation containing both advance and retardation. By using Mountain pass lemma and some established inequalities, sufficient conditions of the existence of solutions of the boundary value problem are obtained. And an illustrative example is given in the last part of the paper.

[学科分类] 应用数学