Stability of sets of stochastic functional differential equations with impulse effect

DOI10.1186/s13662-015-0551-2zbMath1422.34211OpenAlexW1605482456WikidataQ59430838 ScholiaQ59430838MaRDI QIDQ1618157

R. Smith

Publication date: 13 November 2018

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-015-0551-2

zbMATH Keywords

Lyapunov functionBrownian motionstochastic functional differential equationsimpulsestability of setsRazumikhin methods

Mathematics Subject Classification ID

Functional-differential equations with impulses (34K45) Stability theory of functional-differential equations (34K20) Stochastic functional-differential equations (34K50)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Attracting and invariant sets of nonlinear stochastic neutral differential equations with delays
• Stability of impulsive stochastic differential equations in terms of two measures via perturbing Lyapunov functions
• Exponential stability of impulsive stochastic functional differential equations
• Impulsive stabilization of stochastic functional differential equations
• Stochastic stability of differential equations. With contributions by G. N. Milstein and M. B. Nevelson
• Stability of sets of functional differential equations with impulse effect
• On stability in terms of two measures for impulsive systems of functional differential equations
• Stability of invariant sets of Itô stochastic differential equations with Markovian switching
• Global stability of sets for impulsive differential systems by Lyapunov's direct method
• Some criteria on \(p\)th moment stability of impulsive stochastic functional differential equations
• Stability analysis of impulsive functional differential equations
• Stability for impulsive differential systems in terms of two measures
• Stability of sets for impulsive systems
• Random differential inequalities
• Stability theory by Liapunov's direct method
• Razumikhin-type theorems on exponential stability of stochastic functional differential equations
• Attraction, stability and boundedness for stochastic differential delay equations.
• Stability of sets for impulsive functional differential equations via Razumikhin method
• Stability in distribution of neutral stochastic differential delay equations with Markovian switching
• Stability of impulsive stochastic differential equations with Markovian switching
• \(p\)-attracting and \(p\)-invariant sets for a class of impulsive stochastic functional differential equations
• p-Moment Stability of Stochastic Nonlinear Delay Systems with Impulsive Jump and Markovian Switching
• Stability in distribution of mild solutions to stochastic partial differential delay equations with jumps
• Stability in distribution of mild solutions to stochastic partial differential equations
• Razumikhin type stability theorems for impulsive functional differential equations
• Lyapunov Functionals and Stability of Stochastic Functional Differential Equations

This page was built for publication: Stability of sets of stochastic functional differential equations with impulse effect