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Stability in distribution of Markov-modulated stochastic differential delay equations with reflection
Authors:Lijun Bo
Affiliation:Department of Probability and Statistics, School of Mathematical Sciences, University of Science and Technology of China, Hefei, PR China
Abstract:In this paper, we discuss Markov-modulated stochastic differential delay equations with reflection. The aim of this paper is to extend the stability criterion in distribution as in [Systems and Control Letters Vol 50 (2003) 195–207] to the equations with reflection. Interesting examples are provided to demonstrate not only our theory, but also the importance of Markov-modulating.
Keywords:Delay equations  reflection  stability in distribution  stochastic differential equations
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