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Approximate controllability of second order semilinear stochastic system with nonlocal conditions

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Abstract

This paper deals with the approximate controllability of second order semilinear stochastic system with nonlocal conditions. To establish sufficient conditions for approximate controllability, Banach fixed point theorem together with the theory of strongly continuous cosine family is been used. At the end, an example is given to illustrate the theory.

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Acknowledgments

The authors are grateful to the Reviewers for valuable suggestions for improvements in the paper. First author is also thankful to Council of Scientific and Industrial Research, New Delhi Government of India (Grant No. 9924-11-44) for financial support and to carry out his research work.

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Correspondence to Anurag Shukla.

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Shukla, A., Sukavanam, N. & Pandey, D.N. Approximate controllability of second order semilinear stochastic system with nonlocal conditions. Ann Univ Ferrara 61, 355–366 (2015). https://doi.org/10.1007/s11565-015-0232-9

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  • DOI: https://doi.org/10.1007/s11565-015-0232-9

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