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 Mean square exponential dissipativity of singularly perturbed stochastic delay differential equations Commun. Korean Math. Soc. 2014 Vol. 29, No. 1, 205-212 https://doi.org/10.4134/CKMS.2014.29.1.205Printed January 31, 2014 Liguang Xu, Zhixia Ma, and Hongxiao Hu Zhejiang University of Technology, Southwest University for Nationalities, Shanghai University for Science and Technology Abstract : This paper investigates mean square exponential dissipativity of singularly perturbed stochastic delay differential equations. The $L$-operator delay differential inequality and stochastic analysis technique are used to establish sufficient conditions ensuring the mean square exponential dissipativity of singularly perturbed stochastic delay differential equations for sufficiently small $\varepsilon>0$. An example is presented to illustrate the efficiency of the obtained results. Keywords : delay, stochastic, singularly perturbed, mean square exponential dissipativity, $L$-operator delay differential inequality MSC numbers : 34K50, 34K20, 34K26 Downloads: Full-text PDF

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