Existence of solutions and periodic solutions for abstract neutral equations with unbounded delay

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Abstract

In this paper, by using Sadovskii fixed point theorem, we study the existence of solutions and periodic solutions for a class of abstract neutral impulsive functional evolution equations with unbounded delay. An example is presented in the end to show the applications of the obtained results.

Original languageEnglish
Pages (from-to)17-35
Number of pages19
JournalDynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis
Volume15
Issue number1
StatePublished - Feb 2008

Keywords

  • Fixed point theorem
  • Functional evolution equations
  • Linear evolution operator
  • Measure of non-compactness
  • Unbounded delay

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