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; [email protected]; 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	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	-