Abstract: In this paper, we consider the averaging principle for the general uncertain differential equations under a Lipschitz condition. The solutions of convergence in mean square and convergence in uncertain measure between standard uncertain differential equation and the corresponding averaged uncertain delay differential equation are considered.

Keywords: Uncertain functional differential equation; Canonical process; Uncertainty space; averaging method; Liu process.

 

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How to cite this article:

Ho Vu, Tran Thanh Loc, The Averaging Method for Uncertain Differential Equation, International Journal of Advances in Mathematics, , Volume 2018, Number 1, Pages 146-158, 2018.