中文摘要：

本文主要研究无穷区间上具有p-Laplacian算子的时滞微分方程边值问题解的存在性和唯一性,利用Schauder不动点定理得到解的存在性,由Banach压缩映射原理证明解的唯一性,并给出一个例子来说明主要结果的应用。

英文摘要：

This paper is concerned with the existence and uniqueness of solutions for boundary value problems with p-Laplacian delay differential equations on the half-line. The existence of solutions is derived from the Schauder＇s fixed point theorem,whereas the uniqueness of solution is established by the Banach＇s contraction principle. An example is given to demonstrate the main results of its application.