On a problem of I. Györi
type: Item
instance of: scholarly article
title: On a problem of I. Györi
zbMATH Open document ID: 0803.34070
author: Detang Zhou
published in: Journal of Mathematical Analysis and Applications
publication date: 1994-07-04T00:00:00Z
review text: The paper deals with the equation (1) \(x'(t)= -x(t-\tau(t))\), where \(\tau(t)\geq 0\) is a continuous function on \([t_ 0,\infty)\) and \(t_ 0\) is some constant. The author presents a necessary and sufficient condition for (1) to possess a positive solution corresponding to \(t_ 0\) and disproves I. Györi's conjecture that the condition \(\tau(t)\leq e^{-1}\) for \(t\geq t_ 0\) is necessary for existence of positive solutions of (1) corresponding to \(t_ 0\).
Mathematics Subject Classification ID: 34K99
Mathematics Subject Classification ID: 34C10
zbMATH DE Number: 599922
zbMATH Keywords: oscillation theory
zbMATH Keywords: positive solution
zbMATH Keywords: I. Györi's conjecture
reviewed by: Jan Ohriska
MaRDI profile type: Publication
full work available at URL: jmaa.1994.1168
OpenAlex ID: W2071225908
DOI: 10.1006/JMAA.1994.1168
description: scientific article; zbMATH DE number 599922