中文摘要：

研究一类带有脉冲的一阶非线性微分方程边值问题的多个正解的存在性问题.利用Avery-Henderson不动点定理以及一些分析技巧,得到该脉冲非线性微分方程的边值问题存在多个正解的一些充分条件的新结果.

英文摘要：

The problem on the existence of multiple positive solutions of a class of boundary value problems for nonlinear first order impulsive differential equations is considered. By applying Avery-Henderson cone fixed point theorem and some analysis techniques, some new results of sufficient conditions which guarantee the existence of multiple positive solutions of the boundary value problems for the impulsive differential equations are established.