Sturm–Liouville方程中转向点与奇异点的关系

IF 0.1 Q4 MATHEMATICS

Cogent mathematics & statistics Pub Date : 2018-01-01 DOI:10.1080/25742558.2018.1464880

Y. Khalili, A. Neamaty

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引用次数: 0

摘要

摘要在本文中，我们给出了关于具有转折点和奇异点的Sturm–Liouville方程的一些结果，并将它们相互转换。通过应用变量的变化，我们可以将具有转折点的微分方程转换为具有奇异性的微分方程。我们还将证明，在某些情况下，具有奇异性的微分方程将转化为具有转折点的微分方程。

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 the relationship between the turning and singular points in Sturm–Liouville equations

Abstract In this article, we present some results about the Sturm–Liouville equation with turning points and singularities and transform them to each other. By applying a change of a variable, we can transform the differential equation with a turning point to the differential equation with a singularity. Also we will prove that a differential equation with a singularity will be transformed to a differential equation with a turning point in some cases.

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来源期刊

Cogent mathematics & statistics

自引率

0.00%

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审稿时长

13 weeks