二阶差分方程边值问题解的存在性

摘要

In this paper,we employed the critical point theory to deal with the existence of solutions for some two-point boundary value problems of second-order nonlinear difference equations and obtain several novel sufficient conditions for the existence of the solution for involved problem. Through our investigation,the research results of this kind were enriched.%利用变分方法与临界点理论,研究了一类非线性二阶差分方程两点边值问题解的存在性,得到了若干关于该问题解的存在性的新的充分性条件.该讨论丰富了此类研究的结果.