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

AZIZ  MANE; KORA HAFIZ  BETE; CARLOS  OGOUYANDJOU; MAMADOU ABDOUL  DIOP

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

Authors

AZIZ MANE Gaston Berger University
KORA HAFIZ BETE Institut de Mathematique et de Sciences Physiques, URMPM,01, B.P 613, Porto-Novo, Benin.
CARLOS OGOUYANDJOU Institut de Mathematique et de Sciences Physiques, URMPM,01, B.P 613, Porto-Novo, Benin.
MAMADOU ABDOUL DIOP Gaston University

Keywords:

Controllability, Resolvent operators, C0-semigroup, impulsive integrodifferential equations, fixed point theory

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.