摘要
该文主要研究无穷时滞脉冲中立型测度微分方程mild解的存在性.在半群非紧的条件下,通过运用算子半群理论、Kuratowski非紧性测度、Mönch不动点定理及分段估计的方法得出方程mild解存在的充分条件.没有使用先验估计和非紧性限制条件,推广许多已有的结果.最后,给出一个实例说明结果的可行性.
In this paper,we mainly examine the existence of mild solutions for impulsive neutral measure differential equations with infinite delay.Under the condition that semigroups are non-compact,we obtain sufficient conditions for the existence of mild solutions by using operator semigroup theory,Kuratowski measure of noncompactness,Mönch fixed point theorem and piecewise estimation.Without utilizing a priori estimation and non-compact constraints,we generalize many existing results.Finally,an example is delivered to illustrate the feasibility of the result.
作者
刘文杰
谢胜利
Liu Wenjie;Xie Shengli(Public Curriculum Department,Anhui Vocational College of City Management,Hefei 230011;School of Mathematics&Physics,Anhui University of Architecture,Hefei 230601)
出处
《数学物理学报（A辑）》
CSCD
北大核心
2022年第6期1671-1681,共11页
Acta Mathematica Scientia
基金
安徽省自然科学基金(1508085MA08)
安徽省教育厅自然科学基金(KJ2014A043)
安徽城市管理职业学院重点科研项目(2021zrkx03)。
关键词
脉冲中立型测度微分方程
MILD解
Kuratowski非紧性测度
不动点定理
Impulsive neutral measure differential equations with infinite delay
Mild solution
Kuratowski measure of noncompactness
Fixed point theorem
