一类脉冲积分微分包含的Lipschitz扰动

摘要

利用Nadler不动点定理,讨论了一类具有积分条件和非局部条件的脉冲微分包含问题.本文主要使用多值分析和多值映射不动点定理,在Lipschitz条件下给出微分包含系统解的存在性结论,改进了相关结果.%By using Nadler's fixed point theorem,a class of impulsive differential inclusions with integral conditions and nonlocal conditions is discussed.The main methods are multivalued analysis and multivalued fixed point theorem.Some existing results of differential inclusions are given under Lipschitz conditions,which extend the existing results.