Structure of formal solutions of singularly perturbed nth-order differential equations
type: Item
instance of: scholarly article
title: Structure of formal solutions of singularly perturbed nth-order differential equations
zbMATH Open document ID: 0613.34044
DOI: 10.1007/BF01057421
author: G. S. Zhukova
author: N. P. Chernykh
published in: Ukrainian Mathematical Journal
publication date: 1985-01-01T00:00:00Z
review text: The authors study the singularly perturbed nth order scalar equation \(\sum^{n}_{i=0}\in^{P_ i}a_ i(t,\epsilon)d^ ix(t,\epsilon)/dt^ i=0,\) under the principal assumptions that \(a_ 0(t,\epsilon)\not\equiv 0\), \(a_ n(t,\epsilon)\not\equiv 0\), \(P_ 0=0\), \(P_ i\geq 0\), \(1\leq i\leq n-1\), and \(P_ n>0\), as \(\epsilon \to 0^+\) by means of Newton diagrams.
Mathematics Subject Classification ID: 34E15
Mathematics Subject Classification ID: 34A30
zbMATH DE Number: 3991963
zbMATH Keywords: singularly perturbed nth order scalar equation
zbMATH Keywords: Newton diagrams
MaRDI profile type: Publication
cites work: Q3660139
cites work: Q5516297
cites work: Q5182723
full work available at URL: https://doi.org/10.1007/bf01057421
OpenAlex ID: W2022648461
description: scientific article; zbMATH DE number 3991963