Asymptotic solutions for second-order differential equations
type: Item
instance of: scholarly article
title: Asymptotic solutions for second-order differential equations
zbMATH Open document ID: 0854.34056
author: F. N. M. Al-Showaikh
author: A. S. A. Al-Hammadi
published in: Arab Journal of Mathematical Sciences
publication date: 1996-04-08T00:00:00Z
review text: The asymptotic form of two linearly independent solutions of the second-order differential equation \((p(x) y'(x))'+ r(x) y'(x)- q(x) y(x)= 0\) as \(x\to \infty\) is studied for the case when \(r\) is small compared to \(p\) and \(q\) in the sense that \[ {r\over (pq)^{1/2}}\to \infty\quad \text{as} \quad x\to \infty. \] The results are illustated with examples.
Mathematics Subject Classification ID: 34E10
Mathematics Subject Classification ID: 34A30
zbMATH DE Number: 863613
zbMATH Keywords: asymptotic form
zbMATH Keywords: second-order differential equation
reviewed by: Yuriy V. Rogovchenko
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 863613