Abstract

AbstractThe objective of this paper is to present some sufficient conditions for approximate controllability of semilinear stochastic system with state delay. Sufficient conditions are obtained by separating the given semilinear system into two systems namely a semilinear deterministic system and a linear stochastic system. To prove our results, the Schauder fixed-point theorem is applied. At the end, an example is given to show the effectiveness of the result.KeywordsApproximate controllabilityState delayStochastic systemSchauder fixed point theorem

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