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Muthukumar, P; Rajivganthi, C
International journal of robust and nonlinear control, 02/2014, Letnik: 24, Številka: 3Journal Article
SUMMARY In this work, we consider a class of control systems governed by the stochastic nonlinear third-order dispersion equation in Hilbert spaces. We first prove the existence of mild solutions of stochastic nonlinear third-order dispersion equation by using fixed point theory, infinite dimensional semigroup properties, stochastic analysis techniques, and then a new set of sufficient conditions are formulated which guarantees the approximate controllability of the main problem. Finally, an example is provided to illustrate the application of the obtained results.Copyright © 2012 John Wiley & Sons, Ltd. PUBLICATION ABSTRACT
