Asymptotic stability of neutral stochastic functional integro-differential equations with impulses

DOI10.1214/ECP.v19-3036zbMath1308.93212OpenAlexW2054955169MaRDI QIDQ2514480

Mamadou Abdoul Diop, Tomás Caraballo Garrido

Publication date: 3 February 2015

Published in: Electronic Communications in Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/ecp.v19-3036

zbMATH Keywords

Wiener processasymptotic stabilitymild solution\(C_0\)-semigroupresolvent operatorsimpulsive stochastic neutral partial functional integro-differential equations

Mathematics Subject Classification ID

Stochastic stability in control theory (93E15) Stochastic functional-differential equations (34K50) Stochastic partial differential equations (aspects of stochastic analysis) (60H15)

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Construction of operational matrices based on linear cardinal B-spline functions for solving fractional stochastic integro-differential equation ⋮ Asymptotic behavior, attracting and quasi-invariant sets for impulsive neutral SPFDE driven by Lévy noise ⋮ Stochastic functional differential equations of Sobolev-type with infinite delay ⋮ Asymptotic properties of solutions for impulsive neutral stochastic functional integro-differential equations ⋮ Stochastic partial functional integrodifferential equations driven by a sub-fractional Brownian motion, existence and asymptotic behavior ⋮ On fractional neutral integro-differential systems with state-dependent delay and non-instantaneous impulses

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