Two classes of positive solutions of first order functional differential equations of delayed type
type: Item
instance of: scholarly article
title: Two classes of positive solutions of first order functional differential equations of delayed type
zbMATH Open document ID: 1263.34107
author: Josef Diblík
author: M. Kúdelčíková
published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods
publication date: 2012-07-16T00:00:00Z
reviewed by: Bolis Basit
Mathematics Subject Classification ID: 34K25
Mathematics Subject Classification ID: 34K11
zbMATH DE Number: 6057266
zbMATH Keywords: delayed differential equation
zbMATH Keywords: retract method
zbMATH Keywords: positive solution
zbMATH Keywords: dominant solution
zbMATH Keywords: subdominant solution
zbMATH Keywords: asymptotic behavior
MaRDI profile type: Publication
full work available at URL: j.na.2012.03.030
OpenAlex ID: W2068288622
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DOI: 10.1016/J.NA.2012.03.030
review text: The authors study the equation NEWLINE\[NEWLINE\dot{y}= - f(t,y_t).NEWLINE\]NEWLINE The existence of two classes of positive solutions asymptotically different for \(t\to \infty\) is proved using the retract method. By means of solutions of two auxiliary linear equations with several delays, constructed using upper and lower linear functional estimates of the right-hand side of the equation considered, inequalities for both types of positive solutions are given as well.
description: scientific article; zbMATH DE number 6057266