EXISTENCE AND STABILITY OF SOLUTIONS OF STOCHASTIC SEMILINEAR FUNCTIONAL DIFFERENTIAL EQUATIONS

DOI10.1081/SAP-120015832zbMath1066.60055OpenAlexW339367638MaRDI QIDQ4797333

T. E. Govindan

Publication date: 2002

Published in: Stochastic Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1081/sap-120015832

zbMATH Keywords

exponential stabilityexistence and uniqueness of a mild solution

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Stability theory of functional-differential equations (34K20) Stochastic functional-differential equations (34K50)

Related Items (13)

Local stability and parameter dependence of mild solutions for stochastic differential equations ⋮ Almost sure exponential stability for stochastic neutral partial functional differential equations ⋮ Existence and stability results for Caputo fractional stochastic differential equations with Lévy noise ⋮ Exponential stability of impulsive fractional neutral stochastic integro-differential equations with nonlocal conditions ⋮ Existence and exponential stability for impulsive stochastic partial functional differential equations ⋮ On exponential stability of mild solutions for some stochastic partial integrodifferential equations ⋮ Integral inequality and exponential stability for neutral stochastic partial differential equations with delays ⋮ Almost sure asymptotic stability for some stochastic partial functional integrodifferential equations on Hilbert spaces ⋮ Stability of Mild Solutions of Stochastic Evolution Equations with Variable Delay ⋮ NEWTON S METHOD FOR STOCHASTIC FUNCTIONAL EVOLUTION EQUATIONS IN HILBERT SPACES ⋮ Existence and Stability Results for Stochastic Fractional Delay Differential Equations with Gaussian Noise ⋮ Impulsive-integral inequality and exponential stability for stochastic partial differential equations with delays ⋮ Exponential stability of impulsive neutral stochastic integrodifferential equations driven by a poisson jumps and time-varying delays

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