About an unsolved stability problem for a stochastic difference equation with continuous time

DOI10.1080/10236190903489973zbMath1214.39008OpenAlexW1985797390MaRDI QIDQ2997153

Leonid Shaikhet

Publication date: 6 May 2011

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10236190903489973

zbMATH Keywords

stabilitycontinuous timestochastic difference equationunsolved problem

Mathematics Subject Classification ID

Stability theory for difference equations (39A30) Stochastic difference equations (39A50)

Related Items (6)

Two unsolved problems in the stability theory of stochastic differential equations with delay ⋮ Impulsive stabilization of delay difference equations and its application in Nicholson's blowflies model ⋮ About stability of difference equations with continuous time and fading stochastic perturbations ⋮ Asymptotic mean-square stability of two-step Maruyama schemes for stochastic differential equations ⋮ Behavior of solution of stochastic difference equation with continuous time under additive fading noise ⋮ A note on stability of functional difference equations

Cites Work

• Necessary and sufficient conditions of asymptotic mean square stability for stochastic linear difference equations
• About Lyapunov functionals construction for difference equations with continuous time.
• Construction of Lyapunov functionals for stochastic difference equations with continuous time
• Lyapunov functionals construction for stochastic difference second-kind Volterra equations with continuous time
• Stability in Probability of Nonlinear Stochastic Volterra Difference Equations with Continuous Variable
• GENERAL METHOD OF LYAPUNOV FUNCTIONALS CONSTRUCTION IN STABILITY INVESTIGATIONS OF NONLINEAR STOCHASTIC DIFFERENCE EQUATIONS WITH CONTINUOUS TIME

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