A type of uncertain differential equations with analytic solution

Kai Yao

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A type of uncertain differential equations with analytic solution

机译：一类带解析解的不确定微分方程

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摘要

Uncertain differential equation is a type of differential equation driven by the Liu process. So far, an analytic solution of linear uncertain differential equation has been obtained. This paper aims at proposing a method to solve a type of nonlinear uncertain differential equation.

机译：不确定微分方程是由Liu过程驱动的一类微分方程。到目前为止，已经获得了线性不确定微分方程的解析解。本文旨在提出一种求解一类非线性不确定微分方程的方法。

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《Journal of Uncertainty Analysis and Applications》 |2013年第1期|共10页
作者
Kai Yao;
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中图分类数学;
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1. Analytic solutions of two types of nonlinear uncertain differential equations [J] . Zhou Chen, Li Zhiming Journal of intelligent & fuzzy systems: Applications in Engineering and Technology . 2018,第2期

机译：两种非线性不确定微分方程的分析解
2. Sumudu Transform Method for Analytical Solutions of Fractional Type Ordinary Differential Equations [J] . Bulut Hasan, Belgacem Fethi Bin Muhammad, Demiray Seyma Tuluce Mathematical Problems in Engineering . 2015,第PTa12期

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3. Sumudu Transform Method for Analytical Solutions of Fractional Type Ordinary Differential Equations [J] . SeymaTuluce Demiray, HasanBulut, Fethi Bin MuhammadBelgacem Mathematical Problems in Engineering: Theory, Methods and Applications . 2015,第1期

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4. Analytical and semi-analytical solutions of some fundamental nonlinear stochastic differential equations [C] . Leo Dostal, Edwin J. Kreuzer IUTAM Symposium on Analytical Methods in Nonlinear Dynamics . 2016

机译：一些基本非线性随机微分方程的分析与半分析解
5. A Study on the Numerical and Analytical Solutions of Complex-variable Partial Differential Equations [D] . Moore, Matthew N. 2019

机译：复杂可变偏微分方程数值和分析解的研究
6. Solution of an Infinite System of Differential Equations of the Analytic Type [O] . F. R. Moulton 1915

机译：解析型无穷微分方程组的无穷大解
7. A type of uncertain differential equations with analytic solution [O] . Kai Yao 2013

机译：一类带解析解的不确定微分方程
8. PART I Recent Work on Families of Periodic Solutions of Ordinary Differential Equations. PART II Singular Solutions of Systems of Real Analytic Equations. PART III The Stromgren-Wintner Principle on the Termination of Families of Periodic Solutions. [R] . Daniel C. Lewis 1959

机译：第一部分关于常微分方程周期解族的近期研究。第二部分实分析方程组的奇异解。第三部分stromgren-Wintner关于终止家庭周期解的原则。

A type of uncertain differential equations with analytic solution

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