Asymptotic stabilities of stochastic functional differential equations

DOI10.1007/s10483-006-1116-1zbMath1231.60053OpenAlexW2021220875MaRDI QIDQ940170

Ming-Hui Jiang, Xiao-Xin Liao, Yi Shen

Publication date: 1 September 2008

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10483-006-1116-1

zbMATH Keywords

asymptotic stabilitysemi-martingale convergence theoremstochastic neural networkstochastic functional differential equationitô formula

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Stability, separation, extension, and related topics for functional equations (39B82) Stability theory of functional-differential equations (34K20)

Related Items (3)

On the stochastic stability and boundedness of solutions for stochastic delay differential equation of the second order ⋮ Mean square exponential stability of stochastic function differential equations in the G-framework ⋮ Lasalle-type theorems for general nonlinear stochastic functional differential equations by multiple Lyapunov functions

Cites Work

• Stochastic versions of the LaSalle theorem
• Stability theory for ordinary differential equations
• Neural networks and physical systems with emergent collective computational abilities.
• Some contributions to stochastic asymptotic stability and boundedness via multiple Lyapunov functions
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Asymptotic stabilities of stochastic functional differential equations