一类带σ边值条件的脉冲微分方程解的存在性

Existence of boundary value problems for impulsive differential equations

运用Leray-Schauder二择一定理,研究了一类一阶含有σ边值条件的脉冲微分方程解的存在性,推导出了该方程解存在性的结论,推广了前人的研究成果。

In this paper, we study the σ boundary value problems for first order impulsive differential equations in finite dimensional spaces by using Leray-Schauder theorem. Several new existence results are obtained, our results generalize some previous results.