MONOTONE ITERATIVE TECHNIQUE FOR IMPULSIVE EVOLUTION EQUATIONS WITH INFINITE DELAY

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Abstract

In this paper, we use a monotone iterative technique in the presence of lower and upper solutions to discuss the existence of solutions for the initial value problem of impulsive evolution equations with infinite delay in an ordered Banach space X. Finally, we give an example to illustrate our main results.

Original languageEnglish
Pages (from-to)1717-1734
Number of pages18
JournalJournal of Applied Analysis and Computation
Volume14
Issue number3
DOIs
Publication statusPublished - 2024

Keywords

  • impulsive evolution equations
  • Infinite delay
  • lower and upper solutions
  • measure of noncompactness

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