On nonoscillatory solutions of fourth-order differential equations
type: Item
instance of: scholarly article
zbMATH Open document ID: 1015.34020
author: Monika Sobalová
author: Miroslav Bartušek
publication date: 2002-10-16T00:00:00Z
Mathematics Subject Classification ID: 34C10
zbMATH DE Number: 1732899
zbMATH Keywords: asymptotic behavior
zbMATH Keywords: nonoscillatory solutions
zbMATH Keywords: fourth-order differential equation
MaRDI profile type: Publication
title: On nonoscillatory solutions of fourth-order differential equations
review text: The authors investigate asymptotic properties of nonoscillatory solutions to the fourth-order differential equation NEWLINE\[NEWLINE y^{(4)}-(q(t)y')'+r(t)f(y)=0, NEWLINE\]NEWLINE where \(q, r\) are continuous functions on \([0,\infty)\), \(r(t)\geq 0\) and \(f(u)u>0\) for \(u\neq 0\). A classification of all nonoscillatory solutions is introduced according to the signs or oscillatory character of their derivatives and sufficient conditions on the nonlinearity \(f\) are given which ensure that one or more of these classes of solutions are empty.NEWLINENEWLINEFor the entire collection see [Zbl 0971.00016].
reviewed by: Zuzana Došlá
description: scientific article; zbMATH DE number 1732899