JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2023, Vol. 58 ›› Issue (6): 77-83, 91.doi: 10.6040/j.issn.1671-9352.0.2022.469

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Continuous dependence of solution for impulsive evolution equations with infinite delay

Pan SUN(),Xuping ZHANG*()   

  1. College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, Gansu, China
  • Received:2022-09-01 Online:2023-06-20 Published:2023-05-23
  • Contact: Xuping ZHANG E-mail:psun0831@163.com;lanyu9986@126.com

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Abstract:

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.

Key words: infinite delay, impulsive evolution equation, compact semigroup, continuous dependence of mild solution

CLC Number: 

  • O175.15
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