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Strathprints serves world leading Open Access research by the University of Strathclyde, including research by the Strathclyde Institute of Pharmacy and Biomedical Sciences (SIPBS), where research centres such as the Industrial Biotechnology Innovation Centre (IBioIC), the Cancer Research UK Formulation Unit, SeaBioTech and the Centre for Biophotonics are based.

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Approximate solutions of stochastic differential delay equations with Markovian switching

Li, Xiaoyue and Mao, X. and Shen, Y. (2010) Approximate solutions of stochastic differential delay equations with Markovian switching. Journal of Difference Equations and Applications, 16 (2-3). pp. 195-207. ISSN 1023-6198

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Abstract

Our main aim is to develop the existence theory for the solutions to stochastic dierential delay equations with Markovian switching (SDDEwMSs) and to establish the convergence theory for the Euler{Maruyama approximate solutions under the local Lipschitz condition. As an application, our results are used to discuss a stochastic delay population system with Markovian switching.