COMPUTER CALCULATION OF GREEN FUNCTIONS FOR THIRD-ORDER ORDINARY DIFFERENTIAL EQUATIONS

I. N. Belyaeva; N. A. Chekanov; L. V. KrasovskayaN. N. Chekanova

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COMPUTER CALCULATION OF GREEN FUNCTIONS FOR THIRD-ORDER ORDINARY DIFFERENTIAL EQUATIONS

机译：三阶常微分方程格林函数的计算机计算

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摘要

In this paper, we present a method of computer calculation of Green functions in the form of generalized power series for third-order linear differential equations admitting regular singularities. For specific boundary-value problems, we construct Green functions by using the software proposed.

机译：在本文中，我们提出了一种以广义幂级数形式计算格林函数的计算机方法，用于承认正则奇点的三阶线性微分方程。针对具体的边界值问题，利用所提出的软件构造Green函数。

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来源
《Journal of mathematical sciences》 |2021年第3期|265-271|共7页
作者
I. N. Belyaeva; N. A. Chekanov; L. V. KrasovskayaN. N. Chekanova;
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作者单位

Belgorod National Research University, Belgorod, Russia;

Banking University, Kharkiv, Ukraine;

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原文格式 PDF
正文语种英语
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关键词
ordinary differential equation; boundary-value problem; Green function; symbol-numerical computation; computer simulation; 34B27;

机译：常微分方程;边界值问题;绿色功能;符号-数值计算;计算机模拟;编号：34B27;

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1. New Derivation of Ordinary Differential Equations for Transient Free-Surface Green Functions [J] . 段文洋, 戴遗山中国海洋工程（英文版） . 2001,第4期
2. SINGULAR PERTURBATION OF BOUNDARY VALUE PROBLEM FOR QUASILINEAR THIRD-ORDER ORDINARY DIFFERENTIAL EQUATIONS INVOLVING TWO SMALL PARAMETERS [J] . 林苏榕, 田根宝, 林宗池应用数学和力学（英文版） . 2001,第2期
3. ASYMPTOTIC SOLUTIONS OF BOUNDARY VALUE PROBLEMS FOR THIRD-ORDER ORDINARY DIFFERENTIAL EQUATIONS WITH TURNING POINTS [J] . 江福汝, 金其年应用数学和力学（英文版） . 2001,第4期
4. ON THE EXISTENCE OF PERIODIC SOLUTIONS FOR THE THIRD-ORDER NONLINEAR ORDINARY DIFFERENTIAL EQUATIONS [J] . HuangXiankai 高校应用数学学报：英文版 . 1999,第002期
5. Green's Functions for First-Order Systems of Ordinary Differential Equations without the Unique Continuation Property [J] . Redolfi Steven, Weikard Rudi Integral equations and operator theory . 2022,第2期

机译：Green's Functions for First-Order Systems of Ordinary Differential Equations without the Unique Continuation Property
6. New derivation of ordinary differential equations for transient free-surface green functions [J] . Duan WY, Dai YS china ocean engineering . 2001,第4期

机译：New derivation of ordinary differential equations for transient free-surface green functions
7. Direct Integrators for the General Third-Order Ordinary Differential Equations with an Application to the Korteweg–de Vries Equation [J] . Samuel Jator, Temitayo Okunlola, Toheeb BialaRaphael Adeniyi International journal of applied and computational mathematics . 2018,第5期

机译：Direct Integrators for the General Third-Order Ordinary Differential Equations with an Application to the Korteweg–de Vries Equation
8. Variable-Order Fractional Partial Differential Equations: Analysis, Approximation and Inverse Problem =变阶分数阶偏微分方程: 分析，近似与反问题 [D] . Zheng, Xiangcheng. 2020

机译：Variable-Order Fractional Partial Differential Equations: Analysis, Approximation and Inverse Problem =变阶分数阶偏微分方程: 分析，近似与反问题
9. Theory of Differential Equations with Regular Singularity and Eigen-Functions of Laplacian of Symmetric Spaces (超函数と線型微分方程式 III) [O] . KASHIWARA MASAKI 1975

机译：Theory of Differential Equations with Regular Singularity and Eigen-Functions of Laplacian of Symmetric Spaces (超函数と线型微分方程式 III)

COMPUTER CALCULATION OF GREEN FUNCTIONS FOR THIRD-ORDER ORDINARY DIFFERENTIAL EQUATIONS

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