Asymptotic representation of the solutions of a class of systems of linear differential equations
type: Item
instance of: scholarly article
title: Asymptotic representation of the solutions of a class of systems of linear differential equations
zbMATH Open document ID: 0664.34014
DOI: 10.1007/BF01057503
author: N. I. Tereshchenko
author: N. N. Ivanyuk
published in: Ukrainian Mathematical Journal
publication date: 1987-01-01T00:00:00Z
review text: The system (1) \(\sum^{n}_{i=0}A_ i(z)d^{n-i}w/dz^{n-i}=0\) with irregular singular point \(z=\infty\) \((z=0)\) is considered. Here \(w(z)=colon(w_ 1(z),...,w_ q(z)),\) \(A_ i(z)-q\times q\) matrix functions holomorphic in a neighbourhood of \(z=\infty\) \((z=0)\) or having certain other properties. Certain classes of (1) with solutions expressible in the form of asymptotic series of fractional powers of independent variable are investigated. There are close connections with the group of papes mostly from the author.
reviewed by: J.Vosmanský
Mathematics Subject Classification ID: 34A30
Mathematics Subject Classification ID: 34A25
Mathematics Subject Classification ID: 34E05
zbMATH DE Number: 4086072
zbMATH Keywords: antirank of system
zbMATH Keywords: irregular singular point
zbMATH Keywords: asymptotic series of fractional powers
MaRDI profile type: Publication
cites work: Q3248151
description: scientific article; zbMATH DE number 4086072