Representing the solutions of ordinary differential equations in the form of Lie series
type: Item
instance of: scholarly article
title: Representing the solutions of ordinary differential equations in the form of Lie series
zbMATH Open document ID: 0618.34013
DOI: 10.1007/BF01058480
author: O. M. Gvozdetskij
author: V. P. Izumnov
published in: Ukrainian Mathematical Journal
publication date: 1986-01-01T00:00:00Z
review text: Consider the Cauchy problem for the system \(y_ j'=F_ j(t,y_ 1,y_ 2,...,y_ n)\) \(j=1,...,n\) and assume that the functions \(F_ j\) are sufficiently high differentiable. The authors are concerned with the computation of the coefficients of the Lie series which represents the solution.
reviewed by: Gabriella Caristi
Mathematics Subject Classification ID: 34A45
Mathematics Subject Classification ID: 34A12
zbMATH DE Number: 4002531
zbMATH Keywords: coefficients of Lie series
zbMATH Keywords: first order differential equation
zbMATH Keywords: Cauchy problem
MaRDI profile type: Publication
cites work: Q5731969
cites work: Q4183136
description: scientific article; zbMATH DE number 4002531