Pth mean asymptotic stability and integrability of Itô-Volterra integrodifferential equations

Abstract

Sufficient conditions for the pth mean stability and integrability of the solutions to non-linear Itô-Volterra integrodifferential equations with nonconvolution drift and diffusion terms are investigated in this paper. Asymptotic convergence rates in pth moment sense are also discussed for the convolution case with infinite delay.