Existence Results for a Second Order Impulsive Functional Differential Equation with State–dependent Delay
نویسندگان
چکیده
In this paper, we study existence of mild solutions for a second order impulsive neutral functional differential equations with state-dependent delay. By using a fixed point theorem for condensing maps combined with theories of a strongly continuous cosine family of bounded linear operators, we prove the main existence theorems. As applications of these obtained results, some practical consequences are derived for the sub-linear growth cases. And an example is also given to illustrate our main results.
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Existence and Controllability Results for Damped Second Order Impulsive Functional Differential Systems with State-dependent Delay
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