The Local Asymptotic Behavior of Solutions of Second Order Linear Differential Equations in a Nutshell

被引：0

作者：

Harry Gingold

机构：

[1] Dept.of Math

[2] College of Arts and Sciences

[3] Morgantown:WV26505

[4] U.S.A.

来源：

Journal of Mathematical Research with Applications | 1993年 / 03期

关键词：

exp; The Local Asymptotic Behavior of Solutions of Second Order Linear Differential Equations in a Nutshell;

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摘要：

1.IntroductionGiven a second order linear differential equation with meromorphic coefficienta（x）y”+b（x）y’+c（x）y=0 （1.1）in,a domain D the local analytic theory for such equations is well developed,see e.g.[8].If xis a regular point for（1.1）then the theory advocates to utilize Taylor seriesexpansions of two linearly indepentdent solutions of（1.1）.If xis a regular singular pointfor（1.1）,Frobenius’method tells us to follow sometimes a laborious procedure which

引用

页码：337 / 350

页数：14

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