Acta mathematica scientia,Series A ›› 2022, Vol. 42 ›› Issue (6): 1671-1681.

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

Wenjie Liu1,*(),Shengli Xie2()   

  1. 1 Public Curriculum Department, Anhui Vocational College of City Management, Hefei 230011
    2 School of Mathematics & Physics, Anhui University of Architecture, Hefei 230601
  • Received:2021-11-12 Online:2022-12-26 Published:2022-12-16
  • Contact: Wenjie Liu E-mail:2020035@cua.edu.cn;slxie@ahjzu.edu.cn
  • Supported by:
    NSF of Anhui Province(1508085MA08);the NSF of Anhui Provincial Education Department(KJ2014A043);the Key Project of Anhui Vocational College of City Management(2021zrkx03)

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
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