Approximate controllability of second order semilinear stochastic system with nonlocal conditions

Urvashi Arora and N. Sukavanam

Applied Mathematics and Computation, 2015, vol. 258, issue C, 111-119

Abstract: In this paper, the approximate controllability of second order semilinear stochastic system involving nonlocal conditions is studied. By using Sadovskii’s Fixed Point theorem with stochastic analysis theory, we derive a new set of sufficient conditions for the approximate controllability of second order semilinear stochastic system with nonlocal conditions under the assumption that the corresponding linear system is approximately controllable. Finally, an application to a second order semilinear stochastic system with nonlocal initial condition is provided to illustrate the obtained theory.

Keywords: Approximate controllability; Semilinear systems; Stochastic control system; Sadovskii’s Fixed Point theorem (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (5)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:258:y:2015:i:c:p:111-119

DOI: 10.1016/j.amc.2015.01.118

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