Mathematics (Oct 2016)

A Study of Controllability of Impulsive Neutral Evolution Integro-Differential Equations with State-Dependent Delay in Banach Spaces

  • Dimplekumar Chalishajar,
  • Annamalai Anguraj,
  • Kandasamy Malar,
  • Kulandhivel Karthikeyan

DOI
https://doi.org/10.3390/math4040060
Journal volume & issue
Vol. 4, no. 4
p. 60

Abstract

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In this paper, we study the problem of controllability of impulsive neutral evolution integro-differential equations with state-dependent delay in Banach spaces. The main results are completely new and are obtained by using Sadovskii’s fixed point theorem, theory of resolvent operators, and an abstract phase space. An example is given to illustrate the theory.

Keywords