Existence results for singular initial value problems for first order differential equations
type: Item
instance of: scholarly article
title: Existence results for singular initial value problems for first order differential equations
zbMATH Open document ID: 0936.34004
DOI: 10.1016/S0362-546X(98)00166-7
published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods
publication date: 2000-01-01T00:00:00Z
review text: The initial value problem \(x'= f(t,x)\), \(x(0)= c\), with some restrictions on function \(f\) is under consideration. Global existence (and nonexistence) results are obtained by means of topological transversality theorem, conditions of local continuity and barrier strips technique. Estimations for the solution \(x\) and its derivative \(x'\) are proposed.
Mathematics Subject Classification ID: 34A12
zbMATH DE Number: 1383359
zbMATH Keywords: initial value problems
zbMATH Keywords: existence
zbMATH Keywords: local continuity
zbMATH Keywords: a priori bounds
author: Petio S. Kelevedjiev
reviewed by: I. V. Andrianov
MaRDI profile type: Publication
full work available at URL: s0362-546x(98)00166-7
OpenAlex ID: W2071855072
Wikidata QID: Q126982085
description: scientific article; zbMATH DE number 1383359