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A GENERALIZATION OF BIHARI'S INEQUALITY AND FUZZY RANDOM DIFFERENTIAL EQUATIONS WITH NON-LIPSCHITZ COEFFICIENTS

WEIYIN FEI

Department of Applied Mathematics, Anhui University of Technology and Science, Wuhu, Anhui 241000, P. R. China

https://doi.org/10.1142/S0218488507004777Cited by:11 (Source: Crossref)

Abstract

This paper studies a class of fuzzy random differential equations with non-Lipschitz coefficients. We first generalize the Bihari's inequality which is later applied to solving the related problem of uniqueness of the solution to fuzzy random differential equations with non-Lipschitz coefficients. The dependence of fuzzy random differential equations on initial values is also discussed. Finally, the non confluence property of the solutions to fuzzy random differential equations is investigated.

Keywords:

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