Simplification of Coefficients in Two Families of Nonlinear Ordinary Differential Equations

Feng Qi; Bai-Ni Guo

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Simplification of Coefficients in Two Families of Nonlinear Ordinary Differential Equations

机译：两类非线性常微分方程系数的简化

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摘要

In the paper, in terms of the Stirling numbers of the first and second kinds, by three approaches, the author derives simple, meaningful, and significant forms for coefficients in two families of nonlinear ordinary differential equations.

机译：在本文中，根据第一类和第二类的斯特林数，通过三种方法，作者推导了两个非线性常微分方程组中系数的简单，有意义和有效形式。

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《Turkish Journal of Analysis and Number Theory》 |2018年第4期|共4页
作者
Feng Qi; Bai-Ni Guo;
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中图分类数学;
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1. Simple forms for coefficients in two families of ordinary differential equations [J] . Feng Qi Global Journal of Mathematical Analysis . 2018,第1期

机译：两类常微分方程系数的简单形式
2. Exponential function method for solving nonlinear ordinary differential equations with constant coefficients on a semi-infinite domain [J] . Ali Hatam, Edmund Chadwick, Saeed Kazem Proceedings of the Indian Academy of Sciences. Mathematical sciences . 2016,第1期

机译：半无限域上具有常系数的非线性常微分方程的指数函数方法
3. Oscillation Criteria for Ordinary Differential Equations of Second Order Nonlinear with Alternating Coefficients [J] . Ambarka A. Salhin, Ummul Khair Salma Din, Rokiah Rozita Ahmad, Research journal of applied science, engineering and technology . 2014,第16期

机译：具有交替系数的二阶非线性常微分方程的振动准则。
4. Truncated and Infinite Power Series in the Role of Coefficients of Linear Ordinary Differential Equations [C] . Sergei A. Abramov, Denis E. Khmelnov, Anna A. Ryabenko International Workshop on Computer Algebra in Scientific Computing . 2020

机译：截断和无限功率系列中的线性常微分方程系数的作用
5. Comparison and Spectral Theory for Ordinary Differential Equations with Distributional Coefficients [D] . Ghatasheh, Ahmed A. 2018

机译：分布系数的常微分方程的比较与光谱理论
6. Sieve Estimation of Constant and Time-Varying Coefficients in Nonlinear Ordinary Differential Equation Models by Considering Both Numerical Error and Measurement Error [O] . Hongqi Xue, Hongyu Miao, Hulin Wu -1

机译：恒的筛估计和时变系数的非线性常微分方程模型同时考虑数值误差和测量误差
7. Simplifying coefficients in a family of nonlinear ordinary differential equations [O] . Feng Qi 2019

机译：简化非线性常微分方程系列中的系数
8. Numerical Scheme for Ordinary Differential Equations Having Time Varying and Nonlinear Coefficients Based on the State Transition Matrix. [R] . Bartels, R. E. 2002

机译：基于状态转移矩阵的具有时变和非线性系数的常微分方程的数值格式。

Simplification of Coefficients in Two Families of Nonlinear Ordinary Differential Equations

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