@Article{MallikaArjunan2014,
author = "Mallika Arjunan, M. and Nadaf, N. Y.",
title = "Existence and controllability results for damped second order impulsive functional differential systems with state-dependent delay",
journal = "Opuscula Math.",
year = "2014",
volume = "34",
number = "3",
pages = "503--522",
doi = "http://dx.doi.org/10.7494/OpMath.2014.34.3.503",
url = "http://dx.doi.org/10.7494/OpMath.2014.34.3.503",
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.",
keywords = "damped second order differential equations, impulsive differential equations, controllability, state-dependent delay, cosine function, mild solution, fixed point",
issn = "1232-9274"
}