Exponential stability for some stochastic neutral partial functional integrodifferential equations with delays and Poisson jumps

DOI10.1007/s00233-013-9555-yzbMath1302.45020OpenAlexW2047787728MaRDI QIDQ741650

Modou Lo, Mamadou Abdoul Diop, Khalil Ezzinbi

Publication date: 12 September 2014

Published in: Semigroup Forum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00233-013-9555-y

zbMATH Keywords

Wiener processmild solutionPicard iterationBanach fixed point principlePoisson jumpsresolvent operatorsexponential stability in the mean square senseneutral partial functional integro-differential equations

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Other nonlinear integral equations (45G10) Stability theory for integral equations (45M10) Stochastic integral equations (60H20) Random integral equations (45R05)

Related Items

Exponential stability for neutral stochastic partial integro-differential equations of second order with poisson jumps ⋮ Existence and regularity for some partial neutral functional integrodifferential equations with nondense domain ⋮ Approximate controllability of impulsive neutral stochastic differential equations driven by Poisson jumps ⋮ Unnamed Item ⋮ Asymptotic stability of neutral impulsive stochastic partial differential equation of Sobolev type with Poisson jumps ⋮ Almost exponential stability and exponential stability of resolvent operator families

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