CONTROLLABILITY RESULTS FOR A NONLOCAL IMPULSIVE NEUTRAL STOCHASTIC FUNCTIONAL INTEGRO-DIFFERENTIAL EQUATIONS WITH DELAY AND POISSON JUMPS

Abstract

The current paper is concerned with the controllability of impulsive neutral stochastic delay partial functional integro-differential equations with Poisson jumps in Hilbert spaces. Suffi- cient conditions are established using the theory of resolvent operators developed by Grim- mer [Resolvent operators for integral equations in Banach spaces, Trans. Amer. Math. Soc., 273(1982):333-349] combined with a fixed point approach for achieving the required result. An example is presented to illustrate the application of the obtained results.