Electron. J. Differential Equations, Vol. 2016 (2016), No. 259, pp. 1-18.

Controllabillity of second-order Sobolev-type neutral impulsive integrodifferential systems in Banach spaces

Bheeman Radhakrishan, Paraman Anukokila

Abstract:
In this article, we prove sufficient conditions for the controllability of second-order Sobolev-type nonlinear neutral impulsive integrodifferential systems in Banach spaces. The results are obtained by using strongly continuous cosine families of operators and the fixed point approach. An application is provided to illustrate the theory.

Submitted February 1, 2016. Published September 22, 2016.
Math Subject Classifications: 93B05, 47H10, 34K40
Key Words: Controllability; neutral integrodifferential system; impulsive differential equation; fixed point theorem.

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Bheeman Radhakrishan
Department of Mathematics
PSG College of Technology
Coimbatore - 641004, TN, India
email: radhakrishnanb1985@gmail.com
Paraman Anukokila
Department of Mathematics
PSG College of Arts and Science
Coimbatore 641014, TN, India
email: anuparaman@gmail.com

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