Multisummable solutions of nonlinear ordinary differential equations
type: Item
instance of: scholarly article
title: Multisummable solutions of nonlinear ordinary differential equations
zbMATH Open document ID: 0841.34008
author: Yanyan Li
published in: Journal of Differential Equations
publication date: 1996-02-08T00:00:00Z
review text: One of the main theorems is given below: A formal power series solution \[ \widehat y(x)= \sum^\infty_{k= n_0} y_k x^{- k/p},\quad p\in \mathbb{N},\quad n_0\in \mathbb{Z}, \] of a nonlinear ordinary differential equation \(x^{1- r} y'(x)= f(x, y)\), \(x\in \mathbb{C}\), \(y\in \mathbb{C}^n\), \(r\in \mathbb{Z}^+\), is multisummable in any nonsingular direction.
reviewed by: R. S. Dahiya
Mathematics Subject Classification ID: 34M99
Mathematics Subject Classification ID: 34A25
Mathematics Subject Classification ID: 40A30
zbMATH DE Number: 842910
zbMATH Keywords: formal power series solution
zbMATH Keywords: nonlinear ordinary differential equation
zbMATH Keywords: multisummable
MaRDI profile type: Publication
full work available at URL: jdeq.1996.0014
OpenAlex ID: W1998805666
DOI: 10.1006/JDEQ.1996.0014
description: scientific article; zbMATH DE number 842910