This paper concerns the existence of solutions for the Dirichlet boundary value problems of -Laplacian difference equations containing both advance and retardation depending on a parameter . Under some suitable assumptions, infinitely many solutions are obtained when lies in a given open interval. The approach is based on the critical point theory.

中文翻译：

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包含提前量和滞后量的-Laplacian差分方程的边值问题的多重解

本文涉及的解决方案的存在性的狄利克雷边界值问题-含有提前和延迟拉普拉斯差分方程取决于参数。在一些适当的假设下，当处于给定的开放时间间隔内时，可以获得无限多个解决方案。该方法基于临界点理论。