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Almost surely asymptotic stability of neutral stochastic differential delay equations with Markovian switching

Mao, Xuerong and Shen, Yi and Yuan, Chenggui and , EPSRC (U.K.) (Funder) and , National Natural Science Foundation of China (Funder) (2008) Almost surely asymptotic stability of neutral stochastic differential delay equations with Markovian switching. Stochastic Processes and their Applications, 118 (8). pp. 1385-1406. ISSN 0304-4149

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Abstract

The main aim of this paper is to discuss the almost surely asymptotic stability of the neutral stochastic differential delay equations (NSDDEs) with Markovian switching. Linear NSDDEs with Markovian switching and nonlinear examples will be discussed to illustrate the theory.