Existence and Controllability Results for Damped Second Order Impulsive Functional Differential Systems with State-dependent Delay

نویسندگان

  • M. Mallika Arjunan
  • Alexander Domoshnitsky
  • Mallika Arjunan
چکیده

Abstract. 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.

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تاریخ انتشار 2014