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Abstract and Applied Analysis
Volume 2014, Article ID 381972, 8 pages
Research Article

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

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

Received 31 October 2013; Revised 7 January 2014; Accepted 19 January 2014; Published 5 March 2014

Academic Editor: Ilaria Fragala

Copyright © 2014 Weiyin Fei et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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.