Controllability results for impulsive differential systems with finite delay


Authors

S. Selvi - Department of Mathematics, Muthayammal College of Arts & Science, Rasipuram- 637408, Tamil Nadu, India. M. Mallika Arjunan - Department of Mathematics, Karunya University, Karunya Nagar, Coimbatore- 641 114, Tamil Nadu, India.


Abstract

This paper establishes some sufficient conditions for controllability of impulsive functional differential equations with finite delay in a Banach space. The results are obtained by using the measures of noncompactness and Monch fixed point theorem. Particularly, we do not assume the compactness of the evolution system. Finally, an example is provided to illustrate the theory.


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ISRP Style

S. Selvi, M. Mallika Arjunan, Controllability results for impulsive differential systems with finite delay, Journal of Nonlinear Sciences and Applications, 5 (2012), no. 3, 206--219

AMA Style

Selvi S., Arjunan M. Mallika, Controllability results for impulsive differential systems with finite delay. J. Nonlinear Sci. Appl. (2012); 5(3):206--219

Chicago/Turabian Style

Selvi, S., Arjunan, M. Mallika. "Controllability results for impulsive differential systems with finite delay." Journal of Nonlinear Sciences and Applications, 5, no. 3 (2012): 206--219


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