The Stochastic Θ-Method for Nonlinear Stochastic Volterra Integro-Differential Equations

The stochastic Θ-method is extended to solve nonlinear stochastic Volterra integro-differential equations. The mean-square convergence and asymptotic stability of the method are studied. First, we prove that the stochastic Θ-method is convergent of order 1/2 in mean-square sense for such equations....

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Bibliographic Details
Main Authors: Peng Hu, Chengming Huang
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/583930