脉冲无穷时滞中立型测度微分方程mild解的存在性

Abstract

Abstract:

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.

Key words: Impulsive neutral measure differential equations with infinite delay, Mild solution, Kuratowski measure of noncompactness, Fixed point theorem

CLC Number:

O175.15

Wenjie Liu,Shengli Xie. Existence Results of Mild Solutions for Impulsive Neutral Measure Differential Equations with Infinite Delay[J].Acta mathematica scientia,Series A, 2022, 42(6): 1671-1681.

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References 17

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

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