Doubly Perturbed Neutral Stochastic Functional Equations Driven by Fractional Brownian Motion

Doubly Perturbed Neutral Stochastic Functional Equations Driven by Fractional Brownian Motion

Year:    2015

Author:    Zhi Li, Liping Xu

Journal of Partial Differential Equations, Vol. 28 (2015), Iss. 4 : pp. 305–314

Abstract

In this paper, we study a class of doubly perturbed neutral stochastic functional equations driven by fractional Brownian motion. Under some non-Lipschitz conditions, we will prove the existence and uniqueness of the solution to these equations by providing a semimartingale approximation of a fractional stochastic integration.

You do not have full access to this article.

Already a Subscriber? Sign in as an individual or via your institution

Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/jpde.v28.n4.2

Journal of Partial Differential Equations, Vol. 28 (2015), Iss. 4 : pp. 305–314

Published online:    2015-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    10

Keywords:    Fractional Brownian motion

Author Details

Zhi Li

Liping Xu

  1. Asset prices with investor protection and past information

    Yue, Jia

    Wang, Ming-Hui

    Huang, Nan-Jing

    Yang, Ben-zhang

    Journal of Industrial and Management Optimization, Vol. 19 (2023), Iss. 4 P.2704

    https://doi.org/10.3934/jimo.2022062 [Citations: 0]