Banach空间中脉冲微分方程初值问题解的存在性

Existence of Solutions for the Initial Value Problems of the Impulsive Differential Equations in Banach Space

利用凝聚映射的不动点定理,对脉冲函数不加紧性条件和其他额外条件,通过逐段延拓的方法,获得了无穷区间上脉冲微分方程初值问题解的存在性,本质上改进了某些已知的结果.

Based on the fixed point theorem of condensing mapping, the impulsive func-tions not using compacting and extra conditions, the author obtains the existence results of initial value problems for impulsive equations by the method of extending interval on infinite interval and essentially improves the results.