• APPROXIMATE CONTROLLABILITY RESULTS FOR IMPULSIVE NEUTRAL STOCHASTIC DIFFERENTIAL EQUATIONS OF SOBOLEV TYPE WITH UNBOUNDED DELAY IN HILBERT SPACES

R. NIRMALKUMAR*, R. MURUGESU

Abstract


In this paper, we discuss the approximate controllability of the impulsive neutral stochastic differential equations of Sobolev type with unbounded delay in Hilbert Spaces. A set of sufficient conditions are established for the existence and approximate controllability of the mild solutions using Krasnoselskii-Schaefer type fixed point theorem and stochastic analysis theory. An application involving partial differential equations with unbounded delay is addressed.


Keywords


Approximate Controllability, Fixed point theorem, Stochastic differential equation, Mild solution, Nonlocal conditions.

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