Mean square summability of solution of stochastic difference second-kind Volterra equation with small nonlinearity

DOI10.1155/2007/65012zbMath1149.39006OpenAlexW2094538170WikidataQ59214172 ScholiaQ59214172MaRDI QIDQ2472248

Beatrice Paternoster, Leonid Shaikhet

Publication date: 20 February 2008

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

Full work available at URL: https://eudml.org/doc/54701

zbMATH Keywords

finite energy propertymean square summabilitystochastic nonlinear hereditary Volterra type difference equations

Mathematics Subject Classification ID

Stochastic stability in control theory (93E15) Generation, random and stochastic difference and differential equations (37H10)

Related Items (2)

On the random gamma function: theory and computing ⋮ About the stability and positivity of a class of discrete nonlinear systems of difference equations

Cites Work

• Necessary and sufficient conditions of asymptotic mean square stability for stochastic linear difference equations
• Construction of Lyapunov functionals for stochastic hereditary systems: A survey of some recent results
• Application of the general method of Lyapunov functionals construction for difference Volterra equations
• Criteria for the stability of systems of linear deterministic and stochastic difference equations with continuous time and with delay
• Some peculiarities of the general method of Lyapunov functionals construction
• An asymptotic result for some delay difference equations with continuous variable
• Lyapunov functionals construction for stochastic difference second-kind Volterra equations with continuous time
• Reliability of difference analogues to preserve stability properties of stochastic Volterra integro-differential equations
• About one application of the general method of Lyapunov functionals construction
• Stability in Probability of Nonlinear Stochastic Volterra Difference Equations with Continuous Variable
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