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2014 Properties of Solutions to Stochastic Set Differential Equations under Non-Lipschitzian Coefficients
Weiyin Fei, Yunhe Li, Chen Fei
Abstr. Appl. Anal. 2014: 1-8 (2014). DOI: 10.1155/2014/381972

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.

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Weiyin Fei. Yunhe Li. Chen Fei. "Properties of Solutions to Stochastic Set Differential Equations under Non-Lipschitzian Coefficients." Abstr. Appl. Anal. 2014 1 - 8, 2014. https://doi.org/10.1155/2014/381972

Information

Published: 2014
First available in Project Euclid: 2 October 2014

zbMATH: 07022273
MathSciNet: MR3178867
Digital Object Identifier: 10.1155/2014/381972

Rights: Copyright © 2014 Hindawi

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