EXISTENCE AND UNIQUENESS OF SOLUTIONS TO STOCHASTIC FUNCTIONAL DIFFERENTIAL EQUATIONS WITH INFINITE DELAY IN Lp(Ω, Ch)

DOI10.1142/S0219493709002786zbMath1181.60081MaRDI QIDQ3405584

Daqing Jiang, Hai-Bo Bao

Publication date: 10 February 2010

Published in: Stochastics and Dynamics (Search for Journal in Brave)

zbMATH Keywords

existenceuniquenessinfinite delaystochastic functional differential equations

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10)

Cites Work

• Unified boundedness, periodicity, and stability in ordinary and functional differential equations
• Stochastic versions of the LaSalle theorem
• Existence, uniqueness, and asymptotic behavior of mild solutions to stochastic functional differential equations in Hilbert spaces
• Exponential stability of non-linear stochastic evolution equations
• On the exponential stability in mean square of neutral stochastic functional differential equations
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