Existence and exponential stability for some stochastic neutral partial functional integrodifferential equations

DOI10.1515/ROSE-2014-0008zbMath1293.35371OpenAlexW2328933601MaRDI QIDQ2247972

Mamadou Abdoul Diop, Modou Lo, Khalil Ezzinbi

Publication date: 30 June 2014

Published in: Random Operators and Stochastic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/rose-2014-0008

zbMATH Keywords

exponential stabilityWiener processmild solutionPicard iterationresolvent operators\(C_{0}\)-semigroupstochastic partial functional integro-differential equations

Mathematics Subject Classification ID

Partial functional-differential equations (35R10) Random operators and equations (aspects of stochastic analysis) (60H25) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60) Random linear operators (47B80) Integro-partial differential equations (35R09)

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Existence and Stability Results of Impulsive Stochastic Partial Neutral Functional Differential Equations with Infinite Delays and Poisson Jumps ⋮ Stability for some impulsive neutral stochastic functional integro-differential equations driven by fractional Brownian motion ⋮ Unnamed Item ⋮ Stochastic partial functional integrodifferential equations driven by a sub-fractional Brownian motion, existence and asymptotic behavior ⋮ Unnamed Item ⋮ Unnamed Item ⋮ On the asymptotic stability of impulsive neutral stochastic partial integrodifferential equations with variable delays and Poisson jumps

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