Stability and Boundedness of Stochastic Volterra Integrodifferential Equations with Infinite Delay | Zendy

Chunmei Zhang | Zendy; Wenxue Li | Zendy; Ke Wang | Zendy

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Stability and Boundedness of Stochastic Volterra Integrodifferential Equations with Infinite Delay

Author(s) -

Chunmei Zhang,

Wenxue Li,

Ke Wang

Publication year - 2013

Publication title -

journal of applied mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.307

H-Index - 43

eISSN - 1687-0042

pISSN - 1110-757X

DOI - 10.1155/2013/320832

Subject(s) - mathematics , stability (learning theory) , volterra equations , control theory (sociology) , nonlinear system , computer science , control (management) , physics , artificial intelligence , quantum mechanics , machine learning

We make the first attempt to discuss stability and boundedness of solutions to stochastic Volterra integrodifferential equations with infinite delay (IDSVIDEs). By the Lyapunov-Krasovskii functional approach, we get kinds of sufficient criteria for stability and boundedness of solutions to IDSVIDEs. The main innovation here is that stochastic systems with infinite delay can retain stability and boundedness of corresponding deterministic systems under some conditions

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