TY  - JOUR
ID  - MallikaArjunan2014
LB  - MallikaArjunan2014
AU  - Mallika Arjunan, M.
AU  - Nadaf, N. Y.
TI  - Existence and controllability results for damped second order impulsive functional differential systems with state-dependent delay
ST  - Existence and controllability results for damped second order impulsive functional differential systems with state-dependent delay
JO  - Opuscula Math.
JA  - Opuscula Math.
JF  - Opuscula Mathematica
PY  - 2014
VL  - 34
IS  - 3
SP  - 503
EP  - 522
DO  - http://dx.doi.org/10.7494/OpMath.2014.34.3.503
UR  - http://dx.doi.org/10.7494/OpMath.2014.34.3.503
AB  - 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.
KW  - damped second order differential equations
KW  - impulsive differential equations
KW  - controllability
KW  - state-dependent delay
KW  - cosine function
KW  - mild solution
KW  - fixed point
SN  - 1232-9274
ER  -