Electron. J. Diff. Equ., Vol. 2016 (2016), No. 53, pp. 1-16.

Approximate controllability of neutral stochastic integro-differential systems with impulsive effects

Meili Li, Xiang Li

Abstract:
This paper studies the approximate controllability of neutral stochastic integro-differential systems with impulsive effects. Sufficient conditions are formulated and proved for the approximate controllability. The results are obtained by using the Nussbaum fixed point theorem and the theory of analytic resolvent operator. An example is given to show the applications of the proposed results.

Submitted July 24, 2015. Published February 18, 2016.
Math Subject Classifications: 93B05, 34K50, 34A37.
Key Words: Approximate controllability; resolvent operator; impulsive effects; neutral stochastic integro-differential system; fractional power operator.

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Meili Li
School of Science, Donghua University
Shanghai 201620, China
email: stylml@dhu.edu.cn
Xiang Li
School of Science, Donghua University
Shanghai 201620, China
email: lixiangdhu@163.com

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