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On almost periodic solutions for stochastic functional integro-differential evolution equations with Lévy noise. (English) Zbl 1413.34266
Summary: In this paper, we investigate a class of stochastic functional integro-differential evolution equations with infinite dimensional Lévy noise. Under some suitable assumptions, the existence and uniqueness of almost periodic mild solutions in distribution to these equations are discussed by means of semigroups of operators and fixed point method. Moreover, an example is given to illustrate our results.
MSC:
34K50 Stochastic functional-differential equations
34K14 Almost and pseudo-almost periodic solutions to functional-differential equations
60H20 Stochastic integral equations
34K30 Functional-differential equations in abstract spaces
47N20 Applications of operator theory to differential and integral equations
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