2008
DOI: 10.1007/s10559-008-9029-5
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Existence of the l-th moment of a solution to a stochastic functional-differential equation with the entire prehistory

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“…Then, according to [2], the problem (1), (2), has a strong solution { } x t t T ( ), [ , ] Î 0 that is unique from the standpoint of stochastic equivalence. we will call it a set of shift operators along the solution of Eq.…”
Section: The Markov Property Of Solutions Of Stochastic Functional-dimentioning
confidence: 99%
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“…Then, according to [2], the problem (1), (2), has a strong solution { } x t t T ( ), [ , ] Î 0 that is unique from the standpoint of stochastic equivalence. we will call it a set of shift operators along the solution of Eq.…”
Section: The Markov Property Of Solutions Of Stochastic Functional-dimentioning
confidence: 99%
“…The existence and uniqueness theorem for a strong solution [2] yields the evolutionary property of the shift operator:…”
Section: The Markov Property Of Solutions Of Stochastic Functional-dimentioning
confidence: 99%