Browsing by Subject "cosine function"

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Existence and controllability results for damped second order impulsive functional differential systems with state-dependent delay
(2014) Arjunan, M. Mallika; Nadaf, N. Y.
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.