具有无穷时滞脉冲发展方程解的连续依赖性  

Continuous dependence of solution for impulsive evolution equations with infinite delay

作　　者：孙盼 张旭萍 SUN Pan;ZHANG Xuping(College of Mathematics and Statistics,Northwest Normal University,Lanzhou 730070,Gansu,China)

机构地区：[1]西北师范大学数学与统计学院,甘肃兰州730070

出　　处：《山东大学学报（理学版）》2023年第6期77-83,91,共8页Journal of Shandong University(Natural Science)

基　　金：甘肃省自然科学基金资助项目(20JR5RA522)。

摘　　要：通过综合运用算子半群理论和非线性分析的工具与方法,研究具有无穷时滞的脉冲发展方程初值问题mild解的存在性及其对初值的连续依赖性。By comprehensive applying the theory of operator semigroups and method of nonlinear analysis,this paper will investigate the existence of mild solutions and the continuous dependence of mild solutions to initial values for the initial problem of impulsive evolution equations with infinite delay.

关 键 词：无穷时滞 脉冲发展方程 紧半群 mild解的连续依赖性 

分 类 号：O175.15[理学—数学]