Preprint Article Version 1 NOT YET PEER-REVIEWED

A study of controllability of impulsive neutral evolution integro-differential equations with state dependent delay in Banach space

  1. Department of Applied Mathematics, Virginia Military Institute (VMI), 431 Mallory Hall, Lexington, VA 24450, USA
  2. Department of Mathematics, PSG College of Arts and Science, Coimbatore 641014 , India
  3. Department of Mathematics, KSR College of Technology, Tiruchengode 637215, India
  4. Department of Mathematics, Erode Arts and Science College, Erode 638009, Tamil Nadu, India
Version 1 : Received: 20 July 2016 / Approved: 21 July 2016 / Online: 21 July 2016 (03:48:42 CEST)

A peer-reviewed article of this Preprint also exists.

Chalishajar, D.; Anguraj, A.; Malar, K.; Karthikeyan, K. A Study of Controllability of Impulsive Neutral Evolution Integro-Differential Equations with State-Dependent Delay in Banach Spaces. Mathematics 2016, 4, 60. Chalishajar, D.; Anguraj, A.; Malar, K.; Karthikeyan, K. A Study of Controllability of Impulsive Neutral Evolution Integro-Differential Equations with State-Dependent Delay in Banach Spaces. Mathematics 2016, 4, 60.

Journal reference: Mathematics 2016, 4, 60
DOI: 10.3390/math4040060

Abstract

In this paper, we study the problem of controllability of impulsive neutral evolution integrodifferential 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.

Subject Areas

Impulsive conditions, Controllability, Neutral evolution integrodi erential equa- tions, Resolvent operators, State dependent delay

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