Integral comparison criteria for half-linear differential equations seen as a perturbation

Pátíková, Zuzana

dc.title	Integral comparison criteria for half-linear differential equations seen as a perturbation	en
dc.contributor.author	Pátíková, Zuzana
dc.relation.ispartof	Mathematics
dc.identifier.issn	2227-7390 Scopus Sources, Sherpa/RoMEO, JCR
dc.date.issued	2021
utb.relation.volume	9
utb.relation.issue	5
dc.citation.spage	1
dc.citation.epage	10
dc.type	article
dc.language.iso	en
dc.publisher	MDPI AG
dc.identifier.doi	10.3390/math9050502
dc.relation.uri	https://www.mdpi.com/2227-7390/9/5/502
dc.subject	half-linear differential equation	en
dc.subject	oscillation criteria	en
dc.subject	modified Riccati technique	en
dc.subject	Euler-type equation	en
dc.subject	second-order differential equation	en
dc.description.abstract	In this paper, we present further developed results on Hille–Wintner-type integral comparison theorems for second-order half-linear differential equations. Compared equations are seen as perturbations of a given non-oscillatory equation, which allows studying the equations on the borderline of oscillation and non-oscillation. We bring a new comparison theorem and apply it to the so-called generalized Riemann–Weber equation (also referred to as a Euler-type equation). © 2021 by the authors. Licensee MDPI, Basel, Switzerland.	en
utb.faculty	Faculty of Applied Informatics
dc.identifier.uri	http://hdl.handle.net/10563/1010244
utb.identifier.obdid	43882893
utb.identifier.scopus	2-s2.0-85102528899
utb.identifier.wok	000628348500001
utb.source	j-scopus
dc.date.accessioned	2021-03-23T11:20:49Z
dc.date.available	2021-03-23T11:20:49Z
dc.rights	Attribution 4.0 International
dc.rights.uri	https://creativecommons.org/licenses/by/4.0/
dc.rights.access	openAccess
utb.ou	Department of Mathematics
utb.contributor.internalauthor	Pátíková, Zuzana
utb.fulltext.affiliation	Zuzana Pátíková https://orcid.org/0000-0003-1992-3895 Department of Mathematics, Tomas Bata University in Zlín, Nad Stráněmi 4511, 760 05 Zlín, Czech Republic; patikova@utb.cz; Tel.: +420-57-603-5005
utb.fulltext.dates	Received: 1 February 2021 Accepted: 24 February 2021 Published: 1 March 2021
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utb.fulltext.sponsorship	This research received no external funding.
utb.wos.affiliation	[Patikova, Zuzana] Tomas Bata Univ Zlin, Dept Math, Stranemi 4511, Zlin 76005, Czech Republic
utb.scopus.affiliation	Pátíková Z., Department of Mathematics, Tomas Bata University in Zlín, Nad Stráněmi 4511, Zlín, 760 05, Czech Republic
utb.fulltext.projects	-
utb.fulltext.faculty	Faculty of Applied Informatics
utb.fulltext.ou	Department of Mathematics
utb.identifier.jel	-