Properties of Solutions to Stochastic Set Differential Equations under Non-Lipschitzian Coefficients-Reference-Cited by-同舟云学术

Properties of Solutions to Stochastic Set Differential Equations under Non-Lipschitzian Coefficients

Published:2014 Issue: Volume:2014 Page:1-8
ISSN:1085-3375
Container-title:Abstract and Applied Analysis
language:en
Short-container-title:Abstract and Applied Analysis

Author:

Fei Weiyin¹^ORCID,Li Yunhe¹,Fei Chen¹

Affiliation:

1. School of Mathematics and Physics, Anhui Polytechnic University, Wuhu, Anhui 241000, China

Abstract

A class of stochastic set differential equations (SSDEs) with non-Lipschitzian coefficients is investigated. We first give the preliminaries on the stochastic set differential equations. Then the nonexplosion of solutions to the SSDEs is discussed. Moreover, the existence and uniqueness of the solutions to SSDEs are proven. Finally, the continuous dependence of the solutions to SSDEs is studied.

Funder

National Natural Science Foundation of China

Publisher

Hindawi Limited

Subject

Applied Mathematics,Analysis

Link

http://downloads.hindawi.com/journals/aaa/2014/381972.pdf

Reference54 articles.

1. Existence and uniqueness of solution for fuzzy random differential equations with non-Lipschitz coefficients

2. Existence and uniqueness for solutions to fuzzy stochastic differential equations driven by local martingales under the non-Lipschitzian condition

Cited by 3 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Existence and Stability of Solutions of Fuzzy Fractional Stochastic Differential Equations with Fractional Brownian Motions;Advances in Fuzzy Systems;2021-09-02

2. On uniqueness and existence of solutions to stochastic set-valued differential equations with fractional Brownian motions;Systems Science & Control Engineering;2020-01-01

3. ‘Educated and educating as a Black woman’ – an auto/biographical reflection on my grandmother’s influence on my academic and professional outcomes;Gender and Education;2019-07-24