\(p\)-attracting and \(p\)-invariant sets for a class of impulsive stochastic functional differential equations

DOI10.1016/j.camwa.2008.09.027zbMath1165.60329OpenAlexW2005670449MaRDI QIDQ2389075

Liguang Xu, Dao Yi Xu

Publication date: 14 July 2009

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2008.09.027

zbMATH Keywords

stochasticimpulsive\(L\)-operator inequality\(p\)-attracting set\(p\)-invariant set

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Stochastic analysis (60H99)

Related Items (19)

Stability of sets of stochastic functional differential equations with impulse effect ⋮ Global exponential \(p\)-stability of stochastic non-autonomous Takagi-Sugeno fuzzy cellular neural networks with time-varying delays and impulses ⋮ Attracting and invariant sets of nonlinear stochastic neutral differential equations with delays ⋮ Stability analysis for impulsive stochastic delay differential equations with Markovian switching ⋮ The asymptotic behavior for a class of impulsive delay differential equations ⋮ Global attracting set and exponential decay of coupled neutral SPDEs driven by fractional Brownian motion ⋮ Impulsive-integral inequalities for attracting and quasi-invariant sets of impulsive stochastic partial differential equations with infinite delays ⋮ Attracting and quasi-invariant sets of neutral stochastic integro-differential equations with impulses driven by fractional Brownian motion ⋮ Asymptotic behavior of impulsive stochastic functional differential equations ⋮ Boundedness and stability analysis for impulsive stochastic differential equations driven by G-Brownian motion ⋮ Exponential stability of a class of singularly perturbed stochastic time-delay systems with impulse effect ⋮ Some criteria on \(p\)th moment stability of impulsive stochastic functional differential equations ⋮ The domain of attraction and the stability region for stochastic partial differential equations with delays ⋮ Global attracting set, exponential decay and stability in distribution of neutral SPDEs driven by additive \(\alpha\)-stable processes ⋮ A new inequality of \(\mathcal{L}\)-operator and its application to stochastic non-autonomous impulsive neural networks with delays ⋮ Razumikhin-type theorem for pth exponential stability of impulsive stochastic functional differential equations based on vector Lyapunov function ⋮ Razumikhin-type theorem for stochastic functional differential systems via vector Lyapunov function ⋮ The \(p\)th moment exponential ultimate boundedness of impulsive stochastic differential systems ⋮ Sobolev-type stochastic differential equations driven by G-Brownian motion

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