Continuation results for differential equations without uniqueness by two Liapunov functions
type: Item
instance of: scholarly article
title: Continuation results for differential equations without uniqueness by two Liapunov functions
zbMATH Open document ID: 0568.34006
author: Jitsuro Sugie
published in: Proceedings of the Japan Academy. Series A
publication date: 1984-01-01T00:00:00Z
review text: The author considers a system of nonlinear ordinary differential equations written as follows: (1) \(x'=f(t,x,y)\), \(y'=g(t,x,y)\), where x and y are vectors of n and m dimensions, respectively, while f and g are continuous functions on \([0,\infty)\times {\mathbb{R}}^ n\times R^ m\). His aim is to give some sufficient conditions under which every solution to (1) is continuable on \([t_ 0,\infty)\) for every \(t_ 0\geq 0\) (existence in the future). The results are phrased in the form of two long theorems and constitute an extention of some earlier results due to the author on non-unique systems.
Mathematics Subject Classification ID: 34A12
Mathematics Subject Classification ID: 34A34
Mathematics Subject Classification ID: 34D20
zbMATH DE Number: 3906882
zbMATH Keywords: non-unique systems
reviewed by: Mithat Idemen
MaRDI profile type: Publication
full work available at URL: pjaa.60.153
OpenAlex ID: W2022756619
cites work: Global existence without uniqueness
cites work: Continuation results for differential equations by two Liapunov functions
cites work: Q5537873
cites work: Q5520199
DOI: 10.3792/PJAA.60.153
description: scientific article; zbMATH DE number 3906882