通过点变换线性化四阶常微分方程
经典分析与常微分方程
2007-10-26 v2
摘要
本文提出了通过点变换线性化四阶方程问题的解法。我们表明，所有可通过点变换线性化的四阶方程均包含在三阶导数呈线性的方程类中。我们提供了线性化判别法，并描述了获取线性化变换及线性化方程的过程。
引用
@article{arxiv.0710.4784,
title = {Linearization of fourth-order ordinary differential equations by point transformations},
author = {Nail H. Ibragimov and Sergey V. Meleshko and Supaporn Suksern},
journal= {arXiv preprint arXiv:0710.4784},
year = {2007}
}
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