Application of the general method of Lyapunov functionals construction for difference Volterra equations

DOI10.1016/S0898-1221(04)90111-3zbMath1069.39011MaRDI QIDQ1767834

Leonid Shaikhet, Beatrice Paternoster

Publication date: 8 March 2005

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

zbMATH Keywords

asymptotic stabilityLyapunov functionalsstochastic difference equationlinear Volterra equationmean square integrability

Mathematics Subject Classification ID

Random operators and equations (aspects of stochastic analysis) (60H25) Discrete version of topics in analysis (39A12)

Related Items

On the stability of stochastic dynamic equations on time scales ⋮ Mean square summability of solution of stochastic difference second-kind Volterra equation with small nonlinearity

Cites Work

• Stability of functional differential equations
• Necessary and sufficient conditions of asymptotic mean square stability for stochastic linear difference equations
• About stability of nonlinear stochastic difference equations
• Some peculiarities of the general method of Lyapunov functionals construction
• Riccati equations in the stability of retarded stochastic linear systems
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