Asymptotic solutions of (q(qy′)′)′+py′+ry=0

Sigrun Bodine

doi:10.1216/rmj.2021.51.1567

Abstract

We are concerned with the third-order linear differential equation ${\left( {q{{\left( {qy'} \right)}^\prime }} \right)^\prime } + py' + ry = 0$ defined on an interval $\left[ {{t_0},\infty } \right)$ . We derive asymptotic solutions for cases characterized by $p$ being “small” and “large”, respectively. Our main tool is a result by Eastham on the asymptotic solution of linear differential systems.

Citation

Download Citation

Sigrun Bodine. "Asymptotic solutions of $(q(qy')')' + py' + ry = 0$ ." Rocky Mountain J. Math. 51 (5) 1567 - 1581, October 2021. https://doi.org/10.1216/rmj.2021.51.1567

Information

Received: 21 September 2020; Revised: 10 February 2021; Accepted: 20 February 2021; Published: October 2021

First available in Project Euclid: 17 February 2022

MathSciNet: MR4382984

zbMATH: 1498.34054

Digital Object Identifier: 10.1216/rmj.2021.51.1567

Subjects:

Primary: 34E10

Keywords: asymptotic solutions , Third-order differential equations

Abstract

Citation

Information

KEYWORDS/PHRASES

PUBLICATION TITLE:

PUBLICATION YEARS