Investigation on continuous dependence and regularity solutions of functional integrodifferential equations

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Abstract

In this work, to show the existence and continuous dependence of integral solution for neutral integro-differential equation with finite delay situation. This result established by using integrated resolvent operator with support of Lipschitz continuous and uniqueness part using Banach contraction mapping. Also study the existence of strict solution on reflexive and general Banach spaces. In the last section, an example is provided related to this theory.

Original languageEnglish
Article number100376
JournalResults in Control and Optimization
Volume14
DOIs
StatePublished - Mar 2024

Keywords

  • Continuous dependence
  • Integral solution
  • Integrated resolvent operator
  • Neutral integro-differential equations
  • Strict solution

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