Preprint Article Version 1 This version not peer reviewed

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

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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