Emden-Fowler型三阶常微分方程的解

Dynamics (Pembroke, Ont.) Pub Date : 2023-09-03 DOI:10.3390/dynamics3030028

Felix Sadyrbaev

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摘要

对于一类三阶线性常微分方程，给出了对W. Leighton, Z. Nehari, M. Hanan的共轭点和极值解理论的补充结果。特别要注意的是解对初始数据的敏感性，这使得它们的数值研究变得困难。对于Emden-Fowler型三阶非线性方程也得到了类似的结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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On Solutions of the Third-Order Ordinary Differential Equations of Emden-Fowler Type

For a linear ordinary differential equation (ODE in short) of the third order, results are presented that supplement the theory of conjugate points and extremal solutions by W. Leighton, Z. Nehari, M. Hanan. It is especially noted the sensitivity of solutions to the initial data, which makes their numerical study difficult. Similar results were obtained for the third-order nonlinear equations of the Emden-Fowler type.

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Dynamics (Pembroke, Ont.)

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