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

Dimplekumar Chalishajar; A. Anguraj; Kulandhivel Karthikeyan; Malar Ganeshan

doi:10.20944/preprints201607.0063.v1

Submitted:

20 July 2016

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21 July 2016

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

Dimplekumar Chalishajar^*,A. Anguraj,Kulandhivel Karthikeyan,Malar Ganeshan

A peer-reviewed article of this preprint also exists.

Submitted:

20 July 2016

Posted:

21 July 2016

You are already at the latest version

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.

Keywords:

Impulsive conditions

;

Controllability

;

Neutral evolution integrodierential equa- tions

;

Resolvent operators

;

State dependent delay

Subject:

Computer Science and Mathematics - Applied Mathematics

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