Zhang, Chunmei; Li, Wenxue; Wang, Ke; Zhong, Jinjin Almost surely asymptotic estimates of solutions to the stochastic Volterra integral equation in the narrow sense. (Chinese. English summary) Zbl 1249.45026 J. Northeast Norm. Univ., Nat. Sci. Ed. 43, No. 1, 20-24 (2011). Summary: Focusing on the almost sure asymptotic estimates, this paper uses a generalized Itô’s formula to study the stochastic Volterra integral equation in the narrow sense. Furthermore, the sample Lyapunov exponent is obtained, which is a strict extension of the stochastic differential equation. Finally, a special case of equation is used to demonstrate the feasibility of the almost asymptotic estimates of solutions to the stochastic Volterra integral equation. MSC: 45R05 Random integral equations 60H20 Stochastic integral equations 45D05 Volterra integral equations 45M05 Asymptotics of solutions to integral equations Keywords:stochastic Volterra integral equation in the narrow sense; almost sure asymptotic estimates; sample Lyapunov exponent; Itô’s formul PDFBibTeX XMLCite \textit{C. Zhang} et al., J. Northeast Norm. Univ., Nat. Sci. Ed. 43, No. 1, 20--24 (2011; Zbl 1249.45026)