Boundary value problems of nonsingular type on the semi-infinite interval
type: Item
instance of: scholarly article
title: Boundary value problems of nonsingular type on the semi-infinite interval
zbMATH Open document ID: 0942.34026
author: Ravi P. Agarwal
author: Donal O'Regan
published in: Tôhoku Mathematical Journal. Second Series
publication date: 2001-07-23T00:00:00Z
review text: For the equation \[ y''+ \varphi(t) f(t,y,y')= 0,\quad 0<t<\infty, \] sufficient conditions are obtained for the existence of solutions that vanish at \(t=0\), are positive for \(t>0\), and satisfy one of the following three conditions: \(y\) is bounded on \([0,\infty)\), \(\lim_{t\to\infty} y(t)\) exists, and \(\lim_{t\to\infty} y'(t)= 0\). The proof is based on studying properties of the corresponding problems on the intervals \([0,n]\), \(n= 1,2,\dots\)\ .
Mathematics Subject Classification ID: 34B40
Mathematics Subject Classification ID: 34B18
Mathematics Subject Classification ID: 34B15
zbMATH DE Number: 1389726
zbMATH Keywords: existence of positive solutions
zbMATH Keywords: semi-infinite interval
reviewed by: Sergei A. Brykalov
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.2748/tmj/1178224769
OpenAlex ID: W1981901879
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DOI: 10.2748/TMJ/1178224769
description: scientific article; zbMATH DE number 1389726