Electron. J. Diff. Equ., Vol. 2013 (2013), No. 194, pp. 1-10.

Controllability of impulsive functional differential systems with nonlocal conditions

Yansheng Liu, Donal O'Regan

Abstract:
In this article, we study the controllability of impulsive functional differential equations with nonlocal conditions. We establish sufficient conditions for controllability, via the measure of noncompactness and Monch fixed point theorem.

Submitted April 12, 2012. Published August 30, 2013.
Math Subject Classifications: 34K10, 34K21, 34K35.
Key Words: Controllability; fixed point theorem; nonlocal conditions; impulsive functional differential equations.

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Yansheng Liu
Department of Mathematics
Shandong Normal University
Jinan, 250014, China
email: yanshliu@gmail.com
Donal O'Regan
Department of Mathematics
National University of Ireland
Galway, Ireland
email: donal.oregan@nuigalway.ie

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