Articles

ITÔ DIFFERENTIAL REPRESENTATION OF SINGULAR STOCHASTIC VOLTERRA INTEGRAL EQUATIONS

  • Nguyen Tien DUNG
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  • 1. Division of Computational Mathematics and Engineering, Institute for Computational Science, Ton Duc Thang University, Ho Chi Minh City, Vietnam;
    2. Faculty of Mathematics and Statistics, Ton Duc Thang University, Ho Chi Minh City, Vietnam

Received date: 2018-11-07

  Revised date: 2020-05-12

  Online published: 2020-12-30

Supported by

This research was funded by Vietnam National Foundation for Science and Technology Development (NAFOSTED) under grant number 101.03-2019.08.

Abstract

In this paper we obtain an Itô differential representation for a class of singular stochastic Volterra integral equations. As an application, we investigate the rate of convergence in the small time central limit theorem for the solution.

Cite this article

Nguyen Tien DUNG . ITÔ DIFFERENTIAL REPRESENTATION OF SINGULAR STOCHASTIC VOLTERRA INTEGRAL EQUATIONS[J]. Acta mathematica scientia, Series B, 2020 , 40(6) : 1989 -2000 . DOI: 10.1007/s10473-020-0624-5

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