A smooth solution to a linear system of singular ODEs
type: Item
instance of: scholarly article
title: A smooth solution to a linear system of singular ODEs
zbMATH Open document ID: 1275.34014
DOI: 10.4171/ZAA/1489
author: G. Vainikko
published in: Zeitschrift für Analysis und ihre Anwendungen
publication date: 2013-08-27T00:00:00Z
review text: Summary: For a linear system of singular ordinary differential equations, necessary and sufficient conditions are established for the existence of a unique \(C^m\)-smooth solution. A reduction to cordial Volterra integral equations is used.
Mathematics Subject Classification ID: 34A30
Mathematics Subject Classification ID: 45D05
zbMATH DE Number: 6202168
zbMATH Keywords: differential equations with singularities
zbMATH Keywords: cordial Volterra integral equations
zbMATH Keywords: smooth solutions
MaRDI profile type: Publication
cites work: Analysis of a New Error Estimate for Collocation Methods Applied to Singular Boundary Value Problems
cites work: Singular nonlinear Cauchy problems
cites work: Collocation Methods for Volterra Integral and Related Functional Differential Equations
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description: scientific article; zbMATH DE number 6202168