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Krystul, Jaroslav (author), Bagchi, Arunabha (author), Blom, H.A.P. (author)In this paper we study a class of strong Markov solutions to stochastic differential equations on a hybrid state spaces. We construct stochastic hybrid processes as solutions to Ito-Skorohod type stochastic differential equations. Then we present strong existence and uniqueness results and show that under weak conditions these solutions are...report 2011