Geodesic
Controllability results for impulsive differential systems with finite delay
Selvi, S.1 ; Arjunan, M. Mallika2
1 Department of Mathematics, Muthayammal College of Arts & Science, Rasipuram- 637408, Tamil Nadu, India
2 Department of Mathematics, Karunya University, Karunya Nagar, Coimbatore- 641 114, Tamil Nadu, India
Journal of nonlinear sciences and its applications, Tome 5 (2012) no. 3, p. 206-219.

Voir la notice de l'article provenant de la source International Scientific Research Publications

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.
DOI : 10.22436/jnsa.005.03.05
Classification : 93B05, 34A37, 34G20
Keywords: Controllability, Impulsive differential equations, Measures of noncompactness, Semigroup theory, Fixed point.

Selvi, S. 1 ; Arjunan, M. Mallika 2

1 Department of Mathematics, Muthayammal College of Arts & Science, Rasipuram- 637408, Tamil Nadu, India
2 Department of Mathematics, Karunya University, Karunya Nagar, Coimbatore- 641 114, Tamil Nadu, India 
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Selvi, S.; Arjunan, M. Mallika. Controllability results for impulsive differential systems with finite delay. Journal of nonlinear sciences and its applications, Tome 5 (2012) no. 3, p. 206-219. doi : 10.22436/jnsa.005.03.05. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.005.03.05/

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