Existence and exponential stability of a class of impulsive neutral stochastic partial differential equations with delays and Poisson jumps

DOI10.1016/j.spl.2018.05.017zbMath1395.60069OpenAlexW2804763399WikidataQ115566840 ScholiaQ115566840MaRDI QIDQ722647

Onno van Gaans, Guiling Chen, Sjoerd M. Verduyn Lunel

Publication date: 27 July 2018

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.spl.2018.05.017

zbMATH Keywords

exponential stabilitymild solutionexistence and uniquenessvariable delaysimpulsive-integral inequalityneutral stochastic delay differential equations

Mathematics Subject Classification ID

Stochastic partial differential equations (aspects of stochastic analysis) (60H15)

Related Items (7)

Perturbed impulsive neutral stochastic functional differential equations ⋮ New impulsive-integral inequality for stochastic differential equations with Poisson jumps and Caputo fractional derivative ⋮ \(\alpha\)-Whittaker controllability of \(\vartheta\)-Hilfer fractional stochastic evolution equations driven by fractional Brownian motion ⋮ Asymptotic stability of neutral impulsive stochastic partial differential equation of Sobolev type with Poisson jumps ⋮ Input-to-state stability of impulsive stochastic infinite dimensional systems with Poisson jumps ⋮ Existence and mean-square exponential stability of mild solutions for impulsive stochastic partial differential equations with noncompact semigroup ⋮ Existence uniqueness of mild solutions for \(\psi \)-Caputo fractional stochastic evolution equations driven by fBm

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