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

Dimplekumar Chalishajar, Annamalai Anguraj, Kandasamy Malar and Kulandhivel Karthikeyan
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Dimplekumar Chalishajar: Department of Applied Mathematics, 435 Mallory Hall, Virginia Military Institute (VMI), Lexington, VA 24450, USA
Annamalai Anguraj: Department of Mathematics, PSG College of Arts and Science, Coimbatore, Tamil Nadu 641014, India
Kandasamy Malar: Department of Mathematics, Erode Arts and Science College, Erode, Tamil Nadu 638009, India
Kulandhivel Karthikeyan: Department of Mathematics, K.S.R. College of Technology, Tiruchengode, Tamil Nadu 637215, India

Mathematics, 2016, vol. 4, issue 4, 1-16

Abstract: 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: impulsive conditions; controllability; neutral evolution integro-differential equations; resolvent operators; state-dependent delay (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2016
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