Stability in Probability of Nonlinear Stochastic Volterra Difference Equations with Continuous Variable

DOI10.1080/07362990701567256zbMath1139.39018OpenAlexW2161880038MaRDI QIDQ5430129

Luo, Jiaowan, Leonid Shaikhet

Publication date: 12 December 2007

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

Full work available at URL: https://doi.org/10.1080/07362990701567256

zbMATH Keywords

Lyapunov functionalsstability in probabilitynonlinear stochastic Volterra difference equations

Mathematics Subject Classification ID

Generation, random and stochastic difference and differential equations (37H10)

Related Items (5)

About an unsolved stability problem for a stochastic difference equation with continuous time ⋮ Stability of a stochastic discrete mutualism system ⋮ Mean square summability of solution of stochastic difference second-kind Volterra equation with small nonlinearity ⋮ About stability of difference equations with continuous time and fading stochastic perturbations ⋮ Behavior of solution of stochastic difference equation with continuous time under additive fading noise

Cites Work

• About stability of nonlinear stochastic difference equations
• Criteria for the stability of systems of linear deterministic and stochastic difference equations with continuous time and with delay
• Construction of Lyapunov functionals for stochastic difference equations with continuous time
• An asymptotic result for some delay difference equations with continuous variable
• Lyapunov functionals construction for stochastic difference second-kind Volterra equations with continuous time
• GENERAL METHOD OF LYAPUNOV FUNCTIONALS CONSTRUCTION IN STABILITY INVESTIGATIONS OF NONLINEAR STOCHASTIC DIFFERENCE EQUATIONS WITH CONTINUOUS TIME

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