Author:
Son Ta Cong,Dung Nguyen Tien,Tan Nguyen Van,Cuong Tran Manh,Thao Hoang Thi Phuong,Tung Pham Dinh
Abstract
<p style='text-indent:20px;'>In this paper, we consider a fundamental class of stochastic differential equations with time delays. Our aim is to investigate the weak convergence with respect to delay parameter of the solutions. Based on the techniques of Malliavin calculus, we obtain an explicit estimate for the rate of convergence. An application to the Carathéodory approximation scheme of stochastic differential equations is provided as well.</p>
Publisher
American Institute of Mathematical Sciences (AIMS)
Subject
Applied Mathematics,Discrete Mathematics and Combinatorics
Reference19 articles.
1. V. Bally, D. Talay.The law of the Euler scheme for stochastic differential equations. I. Convergence rate of the distribution function, Probab. Theory Related Fields, 104 (1996), 43-60.
2. D. R. Bell, S. E. A. Mohammed.On the solution of stochastic ordinary differential equations via small delays, Stochastics Stochastics Rep., 28 (1989), 293-299.
3. M. Benabdallah, M. Bourza.Carathéodory approximate solutions for a class of perturbed stochastic differential equations with reflecting boundary, Stoch. Anal. Appl., 37 (2019), 936-954.
4. E. Buckwar, R. Kuske, S.-E. Mohammed, T. Shardlow.Weak convergence of the Euler scheme for stochastic differential delay equations, LMS J. Comput. Math., 11 (2008), 60-99.
5. E. A. Coddington and N. Levinson, Theory of Ordinary Differential Equations, , McGraw-Hill Book Company, Inc., New York-Toronto-London, 1955.
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