A GENERALIZATION OF BIHARI'S INEQUALITY AND FUZZY RANDOM DIFFERENTIAL EQUATIONS WITH NON-LIPSCHITZ COEFFICIENTS-Reference-Cited by-同舟云学术

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

Published:2007-08 Issue:04 Volume:15 Page:425-439
ISSN:0218-4885
Container-title:International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems
language:en
Short-container-title:Int. J. Unc. Fuzz. Knowl. Based Syst.

Author:

FEI WEIYIN¹

Affiliation:

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

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.

Publisher

World Scientific Pub Co Pte Lt

Subject

Artificial Intelligence,Information Systems,Control and Systems Engineering,Software

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218488507004777

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