HIGHER-ORDER SINGULAR MULTI-POINT BOUNDARY-VALUE PROBLEMS ON TIME SCALES

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dc.contributor.authorDogan, Abdulkadir
dc.contributor.authorGraef, John R.
dc.contributor.authorKong, Lingju
dc.date.accessioned2019-08-01T13:38:39Z
dc.date.available2019-08-01T13:38:39Z
dc.date.issued2011
dc.departmentNiğde ÖHÜ
dc.description.abstractWe study classes of higher-order singular boundary-value problems on a time scale T with a positive parameter lambda in the differential equations. A homeomorphism and homomorphism phi are involved both in the differential equation and in the boundary conditions. Criteria are obtained for the existence and uniqueness of positive solutions. The dependence of positive solutions on the parameter lambda is studied. Applications of our results to special problems are also discussed. Our analysis mainly relies on the mixed monotone operator theory. The results here are new, even in the cases of second-order differential and difference equations.
dc.description.sponsorshipScientific and Technical Research Foundation of Turkey (TUBITAK) [2219]
dc.description.sponsorshipA.D. gratefully acknowledges Grant 2219 of the Science Fellowship Program by the Scientific and Technical Research Foundation of Turkey (TUBITAK). This research was conducted while A. D. was visiting the University of Tennessee at Chattanooga.
dc.identifier.doi10.1017/S0013091509001643
dc.identifier.endpage361
dc.identifier.issn0013-0915
dc.identifier.scopus2-s2.0-79956141424
dc.identifier.scopusqualityQ1
dc.identifier.startpage345
dc.identifier.urihttps://dx.doi.org/10.1017/S0013091509001643
dc.identifier.urihttps://hdl.handle.net/11480/4721
dc.identifier.volume54
dc.identifier.wosWOS:000290771300006
dc.identifier.wosqualityQ3
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.institutionauthor[0-Belirlenecek]
dc.language.isoen
dc.publisherCAMBRIDGE UNIV PRESS
dc.relation.ispartofPROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.subjectpositive solutions
dc.subjectsingular boundary-value problems
dc.subjectexistence
dc.subjectuniqueness
dc.subjectdependence
dc.subjectmixed monotone operator
dc.titleHIGHER-ORDER SINGULAR MULTI-POINT BOUNDARY-VALUE PROBLEMS ON TIME SCALES
dc.typeArticle

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