用$G_{\alpha}$-变换研究多项式系数高阶微分方程

IF 1 Q1 MATHEMATICS European Journal of Pure and Applied Mathematics Pub Date : 2023-07-30 DOI:10.29020/nybg.ejpam.v16i3.4792

Supaknaree Sattaso, P. Prasertsang, T. Prasertsang

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引用次数: 0

摘要

本文利用$G_{\alpha}$-变换，得到了具有多项式系数的高阶微分方程的解。在一些表征的基础上，研究了HODEPCs的解。有了hodepc的通解，通解的曲线可以在几个例子中得到。

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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Using $G_{\alpha}$-transform to Study Higher-order Differential Equations with Polynomial Coefficients

In this study, solutions of higher-order differential equations with polynomial coefficients(HODEPCs) were obtained by applying the $G_{\alpha}$-transform. Based on some characterizations, the solutions of HODEPCs were investigated. With the general solution of the HODEPCs, the curves of the general solution can be shown in several examples.

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