Existence of eventually positive solutions of fourth order quasilinear differential equations
type: Item
instance of: scholarly article
title: Existence of eventually positive solutions of fourth order quasilinear differential equations
zbMATH Open document ID: 1244.34054
author: Fentao Wu
published in: Journal of Mathematical Analysis and Applications
publication date: 2012-02-27T00:00:00Z
review text: Continuing his earlier investigations the author establishes some necessary and sufficient conditions for the existence of eventually positive solutions of the equation \[ (p(t)|u''|^{\alpha -1} u'')''+q(t) |u|^{\beta -1} u = 0 . \] Here \(p(t)\), \(q(t)\) are positive continuous functions defined on \([a,\infty )\), \(a>0\), \(\alpha \), \(\beta \) are positive constants.
reviewed by: Vojislav Marić
Mathematics Subject Classification ID: 34C10
zbMATH DE Number: 6009688
zbMATH Keywords: fourth order quasilinear equation
zbMATH Keywords: positive solutions
MaRDI profile type: Publication
full work available at URL: j.jmaa.2011.11.061
OpenAlex ID: W2055067428
cites work: Q4824331
cites work: On the existence of eventually positive solutions of fourth-order quasilinear differential equations
cites work: Oscillation and non-oscillation theorems for superlinear Emden-Fowler equations of the fourth order
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cites work: On the structure of positive solutions of a class of fourth order nonlinear differential equations
cites work: Sharp oscillation criteria for a class of fourth order nonlinear differential equations
DOI: 10.1016/J.JMAA.2011.11.061
description: scientific article; zbMATH DE number 6009688