TBU Publications
Repository of TBU Publications

Use of the modified riccati technique for neutral half-linear differential equations

DSpace Repository

Show simple item record


dc.title Use of the modified riccati technique for neutral half-linear differential equations en
dc.contributor.author Pátíková, Zuzana
dc.contributor.author Fišnarová, Simona
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 3
dc.citation.spage 1
dc.citation.epage 13
dc.type article
dc.language.iso en
dc.publisher MDPI AG
dc.identifier.doi 10.3390/math9030235
dc.relation.uri https://www.mdpi.com/2227-7390/9/3/235
dc.subject half-linear neutral differential equation en
dc.subject oscillation criteria en
dc.subject modified Riccati technique en
dc.description.abstract We study the second-order neutral half-linear differential equation and formulate new oscillation criteria for this equation, which are obtained through the use of the modified Riccati technique. In the first statement, the oscillation of the equation is ensured by the divergence of a certain integral. The second one provides the condition of the oscillation in the case where the relevant integral converges, and it can be seen as a Hille–Nehari-type criterion. The use of the results is shown in several examples, in which the Euler-type equation and its perturbations are considered. © 2021 by the authors. Licensee MDPI, Basel, Switzerland. en
utb.faculty Faculty of Applied Informatics
dc.identifier.uri http://hdl.handle.net/10563/1010221
utb.identifier.scopus 2-s2.0-85100463388
utb.identifier.wok 000615385100001
utb.source j-scopus
dc.date.accessioned 2021-02-26T14:17:21Z
dc.date.available 2021-02-26T14:17:21Z
dc.rights Attribution 4.0 International
dc.rights.uri http://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 1*, Simona Fišnarová 2 1 Department of Mathematics, Tomas Bata University in Zlín, Nad Stráněmi 4511, 760 05 Zlín, Czech Republic 2 Department of Mathematics, Mendel University in Brno, Zemědělská 1, 613 00 Brno, Czech Republic; fisnarov@mendelu.cz * Correspondence: patikova@utb.cz; Tel.: +420-57-603-5005
utb.fulltext.dates Received: 28 December 2020 Accepted: 20 January 2021 Published: 25 January 2021
utb.wos.affiliation [Patikova, Zuzana] Tomas Bata Univ Zlin, Dept Math, Nad Stranemi 4511, Zlin 76005, Czech Republic; [Fisnarova, Simona] Mendel Univ Brno, Dept Math, Zemedelska 1, Brno 61300, Czech Republic
utb.scopus.affiliation Department of Mathematics, Tomas Bata University in Zlín, Nad Stráněmi 4511, Zlín, 760 05, Czech Republic; Department of Mathematics, Mendel University in Brno, Zemědělská 1, Brno, 613 00, Czech Republic
utb.fulltext.ou Department of Mathematics
Find Full text

Files in this item

Show simple item record

Attribution 4.0 International Except where otherwise noted, this item's license is described as Attribution 4.0 International