脉冲无穷时滞中立型测度微分方程mild解的存在性  

Existence Results of Mild Solutions for Impulsive Neutral Measure Differential Equations with Infinite Delay

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)

机构地区：[1]安徽城市管理职业学院公共教学部,合肥230011 [2]安徽建筑大学数理学院,合肥230601

出　　处：《数学物理学报（A辑）》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)。

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.

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 

分 类 号：O175.15[理学—数学]