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Journal of Applied Mathematics and Stochastic Analysis 
Volume 9 (1996), Issue 3, Pages 255-261
doi:10.1155/S104895339600024X

Quantitative results for perturbed stochastic differential equations

Jordan Stoyanov and Dobrin Botev

Bulgarian Academy of Sciences, Institute of Mathematics, Box 373, Sofia 1090, Bulgaria

Received 1 August 1995; Revised 1 December 1995

Abstract

The paper is devoted to Itô type stochastic differential equations (SDE's) with “small“ perturbations. Our goal is to present strong results showing how “close” are the 2m-order moments of the solutions of the perturbed SDE's and the unperturbed SDE.