Global attracting set, exponential decay and stability in distribution of neutral SPDEs driven by additive \(\alpha\)-stable processes

DOI10.3934/dcdsb.2016110zbMath1354.60072OpenAlexW2549948198MaRDI QIDQ727926

Kai Liu, Zhi Li

Publication date: 21 December 2016

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2016110

zbMATH Keywords

stochastic partial differential equationsexponential decay\(p\)-th momentstability in distributionglobal attracting set\(\alpha\)-stable processes

Mathematics Subject Classification ID

Gaussian processes (60G15) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Stable stochastic processes (60G52)

Related Items (10)

On solutions of a class of neutral evolution equations with discrete nonlocal conditions ⋮ Global attractiveness and exponential stability for impulsive fractional neutral stochastic evolution equations driven by fBm ⋮ Global attracting set, exponential stability and stability in distribution of SPDEs with jumps ⋮ Global attracting sets of stochastic functional differential equations driven by a square integrable Lévy martingale ⋮ Global attracting sets and exponential stability of stochastic functional differential equations driven by the time-changed Brownian motion ⋮ Stationary distributions for stochastic differential equations with memory driven by \(\alpha\)-stable processes ⋮ Quasi Contraction of Stochastic Functional Differential Equations ⋮ Global attractiveness and exponential decay of neutral stochastic functional differential equations driven by fBm with Hurst parameter less than 1/2 ⋮ Asymptotic properties of solutions for impulsive neutral stochastic functional integro-differential equations ⋮ Global attracting sets and exponential stability of stochastic partial functional differential equations

Cites Work

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