Computation of formal fundamental solutions
type: Item
instance of: scholarly article
title: Computation of formal fundamental solutions
zbMATH Open document ID: 0934.65066
DOI: 10.1016/S0024-3795(98)10231-8
author: Werner Balser
published in: Linear Algebra and its Applications
publication date: 2000-04-03T00:00:00Z
review text: The main aim of the paper is to report a new and simplified proof of the existence of formal fundamental solutions to systems of meromorphic linear differential equations. The proof is totally constructive and differs from the classical proofs in the treatment of specific situations. The result obtained by the author is certainly of theoretical interest but, even if the procedure for the computation of the formal fundamental solutions is easily described and finite, it is questionable if its implementation on a computer will result into an algorithm more effective than the classical ones. A corresponding proof of the existence for highest level formal solutions is considered at the end of the paper.
Mathematics Subject Classification ID: 65L05
Mathematics Subject Classification ID: 34A30
Mathematics Subject Classification ID: 34A25
zbMATH DE Number: 1331351
zbMATH Keywords: formal fundamental solution
zbMATH Keywords: highest level formal solutions
zbMATH Keywords: linear systems
zbMATH Keywords: meromorphic linear differential equations
reviewed by: Riccardo Fazio
describes a project that uses: ELISE
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1331351