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arXiv · 2407.03017

High-order Uncertain Differential Equation and Its Application to Nuclear Reactors

Hao Li·Yuqian Wang
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Abstract

High-order uncertain differential equation (HUDE) was introduced in literature. But the present method to solve a HUDE is incorrect. In this paper, we will rigorously prove some comparion theorems of high-order differential equations, and present a method to solve a family of HUDE, including parameter estimation and hypothesis test. Then an application to nuclear reactor kinetics is given to illustrate the method.

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Hao Li, Yuqian Wang. 2024-07-03. High-order Uncertain Differential Equation and Its Application to Nuclear Reactors. https://arxiv.org/abs/2407.03017

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