A generalization of bihari's inequality and fuzzy random differential equations with non-Lipschitz coefficients

作者：Fei Weiyin^*

来源：International Journal of Uncertainty Fuzziness and Knowledge-Based Systems, 2007, 15(4): 425-439.

DOI：10.1142/S0218488507004777

• fuzzy random variables
• fuzzy random differential equation
• existence and uniqueness
• non-Lipschitz coefficients
• generalized Bihari's inequality

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.

• 出版日期2007-8
• 单位安徽工程大学