Sturmian Comparison Theory for Half-Linear and Nonlinear Differential Equations Via Picone Identity

dc.authorscopusid 9434099700
dc.contributor.author Ozbekler, Abdullah
dc.contributor.other Mathematics
dc.date.accessioned 2024-07-05T14:30:36Z
dc.date.available 2024-07-05T14:30:36Z
dc.date.issued 2017
dc.department Atılım University en_US
dc.department-temp [Ozbekler, Abdullah] Atilim Univ, Dept Math, TR-06836 Ankara, Turkey en_US
dc.description.abstract In this paper, Sturmian comparison theory is developed for the pair of second order differential equations; first of which is the nonlinear differential equations of the form (m(t)Phi(beta) (y'))' + Sigma (n) (i = 1) qi(t)Phi(alpha i) (y) = 0 and the second is the half-linear differential equations (k(t)Phi(beta) (x'))' + p(t) Phi(beta) (x) = 0 where Phi(*)(s) = \ s \(*-1)s and alpha(1) > . . .> alpha(m) > beta > alpha(m + 1) > . . . > alpha(n) > 0. Under the assumption that the solution of Eq. (2) has two consecutive zeros, we obtain Sturm-Picone type and Leighton type comparison theorems for Eq. (1) by employing the new nonlinear version of Picone's formula that we derive. Wirtinger type inequalities and several oscillation criteria are also attained for Eq. (1). Examples are given to illustrate the relevance of the results. en_US
dc.identifier.citationcount 0
dc.identifier.doi 10.2298/FIL1705185O
dc.identifier.endpage 1194 en_US
dc.identifier.issn 0354-5180
dc.identifier.issue 5 en_US
dc.identifier.scopus 2-s2.0-85014665630
dc.identifier.startpage 1185 en_US
dc.identifier.uri https://doi.org/10.2298/FIL1705185O
dc.identifier.uri https://hdl.handle.net/20.500.14411/582
dc.identifier.volume 31 en_US
dc.identifier.wos WOS:000397996300006
dc.identifier.wosquality Q3
dc.institutionauthor Özbekler, Abdullah
dc.language.iso en en_US
dc.publisher Univ Nis, Fac Sci Math en_US
dc.relation.publicationcategory Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı en_US
dc.rights info:eu-repo/semantics/closedAccess en_US
dc.scopus.citedbyCount 0
dc.subject [No Keyword Available] en_US
dc.title Sturmian Comparison Theory for Half-Linear and Nonlinear Differential Equations Via Picone Identity en_US
dc.type Article en_US
dc.wos.citedbyCount 0
dspace.entity.type Publication
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relation.isAuthorOfPublication.latestForDiscovery ae65c9f5-e938-41ab-b335-fed50015a138
relation.isOrgUnitOfPublication 31ddeb89-24da-4427-917a-250e710b969c
relation.isOrgUnitOfPublication.latestForDiscovery 31ddeb89-24da-4427-917a-250e710b969c

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