Uniqueness of solutions to fuzzy differential equations driven by Liu's process with non-Lipschitz coefficients

Authors:
Weiyin Fei
Affiliations:
Department of Applied Mathematics, Anhut University of Technology and Science, Wuhu, China
Venue:
FSKD'09 Proceedings of the 6th international conference on Fuzzy systems and knowledge discovery - Volume 6
Year:
2009

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Abstract

This paper investigates a class of fuzzy differential equations driven by Liu's process with non-Lipschitz coefficients. No explosion on the solution of fuzzy differential equations is proved. A pathwise uniqueness of solutions is obtained.