Convergence of the Euler Method of Stochastic Differential Equations with Piecewise Continuous Arguments

The main purpose of this paper is to investigate the strong convergence of the Euler method to stochastic differential equations with piecewise continuous arguments (SEPCAs). Firstly, it is proved that the Euler approximation solution converges to the analytic solution under local Lipschitz conditio...

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Bibliographic Details
Main Authors: Ling Zhang, Minghui Song
Format: Article
Language:English
Published: Wiley 2012-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2012/643783
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