Banach空间中一类非局部脉冲微分包含的解

Solutions to A Class of Nonlocal Impulsive Differential Inclusions in Banach Spaces

在紧半群条件下,讨论具有非局部条件的脉冲算子微分包含解的存在性.利用集值映射不动点定理,在非线性项和非局部项不具有紧性和Lipschitz连续性的框架下研究这一问题,所需的条件更为一般化,得到的结果改进了已有文献中的结论.

This paper is concerned with the existence of solutions to impulsive differential inclusions under compact semigroups. By using the fixed point theorem for multi-valued mappings, we discuss the problem under the assumption that the nonlinear item and nonlocal item are not compact and not Lipschitz continuous. The obtained results extend some existing ones and the conditions are more general.