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Periodic solutions of stochastic delay differential equations and applications to logistic equation and neural networks. (English) Zbl 1316.34071

A class of periodic Itó stochastic delay differential equations is investigated by using the properties of periodic Markov processes. Some sufficient conditions for the existence of periodic solution of the delay equations are proved. The obtained results improve some known ones in corresponding literature.

MSC:

34K13 Periodic solutions to functional-differential equations
34K50 Stochastic functional-differential equations
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