Existence of solutions to an initial value problem for the differential equation \(f(t,x,x^{\prime})=0\) using barrier strips
type: Item
instance of: scholarly article
title: Existence of solutions to an initial value problem for the differential equation \(f(t,x,x^{\prime})=0\) using barrier strips
zbMATH Open document ID: 1125.34300
author: Petio S. Kelevedjiev
author: Donal O'Regan
author: Ján Seman
published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods
publication date: 2007-06-08T00:00:00Z
review text: Sufficient conditions guaranteeing the existence of global solutions to the singular initial value problem \[ f(t,x,x')= 0,\quad x(0)= A \] are presented by using barrier strips. Throughout the paper it is assumed that the function \(f(t,x,p)\) is defined for \((t,x,p)\in D_t\times \{D_x\setminus\{A\}\}\times D_p\). It may be singular at \(x=A\). The sets \(D_t\), \(D_x\), \(D_p\subseteq R\) may be bounded, \(D_x\) is such that \(A\) is an interior point.
Mathematics Subject Classification ID: 34A09
Mathematics Subject Classification ID: 34A12
zbMATH DE Number: 5162705
zbMATH Keywords: implicit equations
zbMATH Keywords: initial value problems
zbMATH Keywords: existence
zbMATH Keywords: global solution
Wikidata QID: Q115343259
MaRDI profile type: Publication
full work available at URL: j.na.2006.07.032
OpenAlex ID: W2019407936
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DOI: 10.1016/J.NA.2006.07.032
description: scientific article; zbMATH DE number 5162705