CONTROLLABILITY RESULTS FOR SECOND ORDER IMPULSIVE NEUTRAL FUNCTIONAL INTEGRODIFFERENTIAL INCLUSIONS WITH INFINITE DELAY

F. Paul Samuel; T. Gunasekar; M. Mallika Arjunan

CONTROLLABILITY RESULTS FOR SECOND ORDER IMPULSIVE NEUTRAL FUNCTIONAL INTEGRODIFFERENTIAL INCLUSIONS WITH INFINITE DELAY

Autori

F. Paul Samuel University of Eastern Africa - Department of Mathematics and Physics
T. Gunasekar Karunya University - Department of Mathematics
M. Mallika Arjunan Kovaipudur C.B.M. College - Department of Mathematics

Parole chiave:

Controllability, Second Order Abstract Cauchy problem, Impulsive systems, Phase space, Cosine function of operators, Integrodiﬀerential inclusions

Abstract

This paper is concerned with the controllability of a partial neutral functional integrodiﬀerential inclusion of second order with impulse eﬀect and infinite delay in Banach spaces. The controllability of mild solutions using a fixed point theorem for contraction multi-valued maps and without assuming compactness of the family of cosine operators.

Cover of n°31 Italian Journal of Pure and Applied Mathematics

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Pubblicato

2013-12-31

Come citare

Samuel, F. P., Gunasekar, T., & Arjunan, M. M. (2013). CONTROLLABILITY RESULTS FOR SECOND ORDER IMPULSIVE NEUTRAL FUNCTIONAL INTEGRODIFFERENTIAL INCLUSIONS WITH INFINITE DELAY. Italian Journal of Pure and Applied Mathematics, 31, 319–332. Recuperato da https://journals.uniurb.it/index.php/ijpam/article/view/6128