On the asymptotics of solutions of a singular \(n\)th-order differential equation with nonregular coefficients
type: Item
instance of: scholarly article
title: On the asymptotics of solutions of a singular \(n\)th-order differential equation with nonregular coefficients
zbMATH Open document ID: 1435.34058
DOI: 10.1134/S0001434618090262
author: N. F. Valeev
author: O. V. Myakinova
author: Ya. T. Sultanaev
published in: Mathematical Notes
publication date: 2019-03-13T00:00:00Z
review text: Consider the linear differential equation \[y^{(2n)}(x)-(q(x)+h(x))y(x)=0_1\text{ for }x\in(0,\infty),\tag{*}\] where \(q\) is twice continuously differentiable and satisfies the Titchmarsh-Levitan-type regularity conditions and \(h\) is a rapidly oscillating perturbation. The authors present a scheme for constructing a fundamental system justifying the asymptotics as \(x\to\infty\).
reviewed by: Klaus R. Schneider
Mathematics Subject Classification ID: 34D05
Mathematics Subject Classification ID: 34A30
Mathematics Subject Classification ID: 34A05
zbMATH DE Number: 7035836
zbMATH Keywords: asymptotic formula for solutions of differential equations
zbMATH Keywords: \(L\)-diagonal systems
Wikidata QID: Q115253740
MaRDI profile type: Publication
cites work: Q5587847
cites work: Q3324254
full work available at URL: s0001434618090262
OpenAlex ID: W2900780691
description: scientific article; zbMATH DE number 7035836