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Stability of solutions of stochastic functional-differential equations with poisson switchings and entire prehistoryby: S. Antonyuk, V. Yasinsk
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AbstractThe Markov properties of the solutions of Ito-Skorokhod stochastic functional-differential equations (SFDEs) with entire prehistory are considered, the concept of a weak infinitesimal operator is introduced for a Markov process that is a solution of an SFDE, and the strong solution of the SFDE is analyzed for stability.
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