Recent progress in the theory of formal solutions for ODE and PDE.
type: Item
instance of: scholarly article
title: Recent progress in the theory of formal solutions for ODE and PDE.
zbMATH Open document ID: 1054.34142
DOI: 10.1016/S0096-3003(02)00325-9
author: Werner Balser
author: Vladimir P. Kostov
published in: Applied Mathematics and Computation
publication date: 2003-09-15T00:00:00Z
review text: The paper is devoted to the description of the theory of multisummability of formal power series and the discussion of its application to power series solutions of ordinary and partial differential equations. In particular, some new applications to a singular perturbation of a regular singular point are given.
reviewed by: J. Saurer
Mathematics Subject Classification ID: 34M25
Mathematics Subject Classification ID: 34M30
Mathematics Subject Classification ID: 34M35
zbMATH DE Number: 1981438
zbMATH Keywords: Borel summability
zbMATH Keywords: Multisummability
zbMATH Keywords: Gevrey order
zbMATH Keywords: Singular perturbation
zbMATH Keywords: Modified Nagumo norms
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1981438