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

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Department of Applied Mathematics, 435 Mallory Hall, Virginia Military Institute (VMI), Lexington, VA 24450, USA
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Department of Mathematics, PSG College of Arts and Science, Coimbatore, Tamil Nadu 641014, India
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Department of Mathematics, Erode Arts and Science College, Erode, Tamil Nadu 638009, India
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Department of Mathematics, K.S.R. College of Technology, Tiruchengode, Tamil Nadu 637215, India
*
Author to whom correspondence should be addressed.
Academic Editor: Hari M. Srivastava
Mathematics 2016, 4(4), 60; https://doi.org/10.3390/math4040060
Received: 20 July 2016 / Revised: 16 September 2016 / Accepted: 21 September 2016 / Published: 19 October 2016
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. View Full-Text
Keywords: impulsive conditions; controllability; neutral evolution integro-differential equations; resolvent operators; state-dependent delay impulsive conditions; controllability; neutral evolution integro-differential equations; resolvent operators; state-dependent delay
MDPI and ACS Style

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.

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