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Stability Of A Class Of Stochastic Partial Differential Equations With Semi Markov Switching And Jumps

Posted on:2018-08-06Degree:MasterType:Thesis
Country:ChinaCandidate:W J YangFull Text:PDF
GTID:2310330515470539Subject:Probability theory and mathematical statistics
Abstract/Summary:PDF Full Text Request
In this paper, we shall use Yosida approximation to discuss the sta-bility of a class of stochastic partial differential equations with semi Markov switching and juamps. Our main results include:(i) existence and uniqueness of mild solutions;(ii) corresponding Markov processes and genenrators;(iii) sufficient conditions for exponential stability.Our results is an extension of existing results. The existing result is the deduction of our result.
Keywords/Search Tags:semi Markov process, Yosida approximation, stochastic partial differential equation, exponential stability
PDF Full Text Request
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