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.
作者
孙盼
张旭萍
SUN Pan;ZHANG Xuping(College of Mathematics and Statistics,Northwest Normal University,Lanzhou 730070,Gansu,China)
出处
《山东大学学报(理学版)》
CAS
CSCD
北大核心
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)。
关键词
无穷时滞
脉冲发展方程
紧半群
mild解的连续依赖性
infinite delay
impulsive evolution equation
compact semigroup
continuous dependence of mild solution