Razumikhin-type theorems on exponential stability of neutral stochastic functional differential equations

DOI10.1007/BF02885926zbMath1043.60049MaRDI QIDQ1428898

Yi Shen, Xiao-Xin Liao

Publication date: 18 May 2004

Published in: Chinese Science Bulletin (Search for Journal in Brave)

zbMATH Keywords

almost sure stabilityneutral stochastic functional differential equationsRazumikhin-type theoremsstability in \(p\)th mean

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Asymptotic stability in control theory (93D20) Stochastic functional-differential equations (34K50)

Related Items (6)

The Razumikhin approach on general decay stability for neutral stochastic functional differential equations ⋮ Razumikhin-type theorems on polynomial stability of hybrid stochastic systems with pantograph delay ⋮ Practical exponential stability of impulsive stochastic functional differential equations ⋮ On the parallelization upper bound for asynchronous stochastic gradients descent in non-convex optimization ⋮ Stochastic functional differential equations with infinite delay ⋮ On boundedness and convergence of solutions for neutral stochastic functional differential equations driven by G-Brownian motion

Cites Work

• Unnamed Item
• Exponential stability in mean square of neutral stochastic differential functional equations
• Stability of functional differential equations
• Almost sure exponential stability of neutral stochastic differential difference equations
• Razumikhin-type theorems on exponential stability of stochastic functional differential equations
• Razumikhin-Type Theorems on Exponential Stability of Neutral Stochastic Differential Equations

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