Razumikhin-Type Theorems of Infinite Dimensional Stochastic Functional Differential Equations

DOI10.1007/0-387-33882-9_22zbMath1217.60055OpenAlexW1557072815MaRDI QIDQ3004438

Kai Liu, Yu-feng Shi

Publication date: 1 June 2011

Published in: IFIP International Federation for Information Processing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/0-387-33882-9_22

zbMATH Keywords

Lyapunov functionRazumikhin-type theoremstochastic functional differential equations in infinite dimensions

Mathematics Subject Classification ID

Stochastic functional-differential equations (34K50) Stochastic partial differential equations (aspects of stochastic analysis) (60H15)

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The existence and exponential stability for neutral stochastic partial differential equations with infinite delay and Poisson jump ⋮ Exponential stability of impulsive fractional neutral stochastic integro-differential equations with nonlocal conditions ⋮ Razumikhin-type theorems on general decay stability of stochastic functional differential equations with infinite delay ⋮ Existence and exponential stability for impulsive stochastic partial functional differential equations ⋮ On exponential stability of mild solutions for some stochastic partial integrodifferential equations ⋮ A class of impulsive stochastic parabolic functional differential equations and their asymptotics ⋮ Integral inequality and exponential stability for neutral stochastic partial differential equations with delays ⋮ Existence of mild solutions to stochastic neutral partial functional differential equations with non-Lipschitz coefficients ⋮ Almost sure asymptotic stability for some stochastic partial functional integrodifferential equations on Hilbert spaces ⋮ Impulsive-integral inequality and exponential stability for stochastic partial differential equations with delays ⋮ Exponential stability of solutions for retarded stochastic differential equations without dissipativity

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