Existence and controllability results for damped second order impulsive functional differential systems with state-dependent delay

• Autorzy: Arjunan M. M. , Nadaf N. Y.

Identyfikatory

DOI

http://dx.doi.org/10.7494/OpMath.2014.34.3.503

• Języki publikacji: EN

Abstrakty

EN

In this paper, we investigate the existence and controllability of mild solutions for a damped second order impulsive functional differential equation with state-dependent delay in Banach spaces. The results are obtained by using Sadovskii’s fixed point theorem combined with the theories of a strongly continuous cosine family of bounded linear operators. Finally, an example is provided to illustrate the main results.

Słowa kluczowe

EN

damped second order differential equations; impulsive differential equations; controllability; state-dependent delay; cosine function; mild solution; fixed point

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Opuscula Mathematica
• Rocznik: 2014
• Tom: Vol. 34, no. 3
• Strony: 503--522
• Opis fizyczny: Bibliogr. 54 poz.

Twórcy

autor

Arjunan M. M.

• C.B.M. College Department of Mathematics Kovaipudur, Coimbatore-641 042, Tamil Nadu, India

autor

Nadaf N. Y.

• Government PU College Department of Mathematics Vidyanagar, Hungund-587118, Bagalkot, Karnataka, India

Bibliografia

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