Mean Square Summability of Solution of Stochastic Difference Second-Kind Volterra Equation with Small Nonlinearity
Advances in Difference Equations volume 2007, Article number: 065012 (2007)
Stochastic difference second-kind Volterra equation with continuous time and small nonlinearity is considered. Via the general method of Lyapunov functionals construction, sufficient conditions for uniform mean square summability of solution of the considered equation are obtained.
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Paternoster, B., Shaikhet, L. Mean Square Summability of Solution of Stochastic Difference Second-Kind Volterra Equation with Small Nonlinearity. Adv Differ Equ 2007, 065012 (2007). https://doi.org/10.1155/2007/65012