Lyapunov functionals construction for stochastic difference second-kind Volterra equations with continuous time

DOI10.1155/S1687183904308022zbMath1080.39017OpenAlexW1972996532MaRDI QIDQ2388388

Leonid Shaikhet

Publication date: 13 September 2005

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

Full work available at URL: https://eudml.org/doc/52045

zbMATH Keywords

mean square stabilityLyapunov functionals constructionstochastic second-kind Volterra difference equations with continuous time

Mathematics Subject Classification ID

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

Related Items

About an unsolved stability problem for a stochastic difference equation with continuous time ⋮ Stability of Stochastic Differential Equations Under Discretization ⋮ Mean square summability of solution of stochastic difference second-kind Volterra equation with small nonlinearity ⋮ Reliability of difference analogues to preserve stability properties of stochastic Volterra integro-differential equations ⋮ Stability in Probability of Nonlinear Stochastic Volterra Difference Equations with Continuous Variable ⋮ About stability of difference equations with continuous time and fading stochastic perturbations ⋮ Method of Lyapunov functionals construction in stability of delay evolution equations ⋮ Exponential stability in mean square of impulsive stochastic difference equations with continuous time ⋮ Behavior of solution of stochastic difference equation with continuous time under additive fading noise ⋮ About stability of a difference analogue of a nonlinear integro-differential equation of convolution type