Periodic solutions of stochastic delay differential equations and applications to logistic equation and neural networks (Q2868500)

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scientific article; zbMATH DE number 6239020
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Periodic solutions of stochastic delay differential equations and applications to logistic equation and neural networks
scientific article; zbMATH DE number 6239020

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    17 December 2013
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    stochastic differential equations
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    periodic solution
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    infinite delay
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    logistic equation
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    neural networks
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    Periodic solutions of stochastic delay differential equations and applications to logistic equation and neural networks (English)
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    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.
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