Next Article in Journal
Positive Solutions for Nonlinear Caputo Type Fractional q-Difference Equations with Integral Boundary Conditions
Previous Article in Journal
Interval Type 2 Fuzzy Set in Fuzzy Shortest Path Problem
Article Menu

Export Article

Open AccessArticle
Mathematics 2016, 4(4), 60; doi:10.3390/math4040060

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

1
Department of Applied Mathematics, 435 Mallory Hall, Virginia Military Institute (VMI), Lexington, VA 24450, USA
2
Department of Mathematics, PSG College of Arts and Science, Coimbatore, Tamil Nadu 641014, India
3
Department of Mathematics, Erode Arts and Science College, Erode, Tamil Nadu 638009, India
4
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
Received: 20 July 2016 / Revised: 16 September 2016 / Accepted: 21 September 2016 / Published: 19 October 2016
View Full-Text   |   Download PDF [288 KB, uploaded 19 October 2016]

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. 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
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

Scifeed alert for new publications

Never miss any articles matching your research from any publisher
  • Get alerts for new papers matching your research
  • Find out the new papers from selected authors
  • Updated daily for 49'000+ journals and 6000+ publishers
  • Define your Scifeed now

SciFeed Share & Cite This Article

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.

Show more citation formats Show less citations formats

Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Related Articles

Article Metrics

Article Access Statistics

1

Comments

[Return to top]
Mathematics EISSN 2227-7390 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert
Back to Top