Electronic Journal of Differential Equations,
Vol. 2015 (2015), No. 256, pp. 1-11.

Title: Controllability of neutral stochastic integro-differential 
       systems with impulsive effects

Author: Abbes Benchaabane (8 May 1945 Univ., Guelma, Algeria)

Abstract:
 This article concerns the complete controllability for nonlinear
 neutral impulsive stochastic integro-differential system in finite
 dimensional spaces. Sufficient conditions ensuring the complete
 controllability are formulated and proved under the natural assumption that
 the associated linear control system is completely controllable. The results
 are obtained by using the Banach fixed point theorem. A numerical example is
 provided to illustrate our technique. 

Submitted June 15, 2014. Published October 02, 2015.
Math Subject Classifications: 93B05, 93E03, 37C25.
Key Words: Complete controllability; fixed point theorem; 
           stochastic neutral impulsive systems.