Combinatorial resolution of systems of differential equations. IV: Separation of variables
type: Item
instance of: scholarly article
title: Combinatorial resolution of systems of differential equations. IV: Separation of variables
zbMATH Open document ID: 0696.34008
DOI: 10.1016/0012-365X(88)90213-0
author: Pierre Leroux
author: Xavier Viennot
published in: Discrete Mathematics
publication date: 1988-01-01T00:00:00Z
review text: [For part I see Combinatoire énumérative, Proc. Colloq., Montreal/Can. 1985, Lect. Notes Math. 1234, 210-245 (1986; Zbl 0631.34004).] From the authors' summary: ``In the context of the combinatorial theory of ordinary differential equations recently introduced by the authors, a concrete interpretation is given to the classical method of separation of variables. This approach is then extended to more general equations and applied to systems of differential equations with forcing terms.''
Mathematics Subject Classification ID: 34A34
zbMATH DE Number: 4140185
zbMATH Keywords: method of separation of variables
zbMATH Keywords: differential equations with forcing terms
reviewed by: Olusola Akinyele
MaRDI profile type: Publication
cites work: Fonctionnelles causales non linéaires et indéterminées non commutatives
cites work: An algebraic approach to nonlinear functional expansions
cites work: Q4129097
cites work: Q5508985
cites work: Éclosions combinatoires appliquées à l'inversion multidimensionnelle des séries formelles. (Combinatorial bloomings applied to the multidimensional inversion of formal series)
cites work: Une combinatoire sous-jacente au théorème des fonctions implicites. (Combinatorics underlying the implicit functions theorem)
cites work: Q3767624
cites work: Q3469384
description: scientific article; zbMATH DE number 4140185