Multipoint Nonlocal Problem for Ordinary Differential Equations

dc.contributor.advisorDosiyev, Adiguzel
dc.contributor.authorFaris, Fahmi Sharif
dc.date.accessioned2016-06-20T05:05:14Z
dc.date.available2016-06-20T05:05:14Z
dc.date.issued2015-06
dc.date.submitted2015
dc.departmentEastern Mediterranean University, Faculty of Arts and Science, Department of Mathematicsen_US
dc.descriptionMaster of Science in Mathematics. Thesis (M.S.)--Eastern Mediterranean University, Faculty of Arts and Sciences, Dept. of Mathematics, 2015. Supervisor: Prof. Dr. Adiguzel Dosiyev.en_US
dc.description.abstractBoundary value problems with nonlocal boundary conditions have been considered in numerous investigations.In this thesis different approaches are analyzed by considering nonlocal boundary conditions of the solution of second order ordinary differential equations. For the existences and uniqueness of the solution the method of contraction mapping of the multipoint nonlocal problems is applied. The finite-difference analogue of the method is also discussed. Keywords: Boundary Value Problems , Second order ordinary differential equations, multipoint nonlocal condition.en_US
dc.description.abstractÖZ: Yerel olmayan sınır koşulları ile Sınır değer problemleri sayısız araştırmalarda dikkate alınmıştır. Bu tez çalışmasında farklı yaklaşımlar ikinci mertebeden adi diferansiyel denklemlerin çözümünün yerel olmayan sınır koşullarını dikkate alınarak analiz edilmektedir. Çözümün varoluşunun ve teklik çoklu yerel olmayan problemlerin daralma haritalama yöntemi uygulanır. Yöntemin sonlu farklar analogu da tartışılmıştır. Anahtar Kelimeler: Sınır Değer Problemleri, İkinci mertebeden adi diferansiyel denklemler, çoklu yerel olmayan Sınır Problemleri.en_US
dc.identifier.citationFaris, Fahmi Sharif. (2015). Multipoint Nonlocal Problem for Ordinary Differential Equations. Thesis (M.S.), Eastern Mediterranean University, Institute of Graduate Studies and Research, Dept. of Mathematics, Famagusta: North Cyprus.en_US
dc.identifier.urihttps://hdl.handle.net/11129/2747
dc.language.isoen
dc.publisherEastern Mediterranean University (EMU) - Doğu Akdeniz Üniversitesi (DAÜ)en_US
dc.relation.publicationcategoryTez
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectMathematicsen_US
dc.subjectDifferential equationsen_US
dc.subjectBoundary Value Problemsen_US
dc.subjectSecond order ordinary differential equationsen_US
dc.subjectmultipoint nonlocal condition Remove selecteden_US
dc.titleMultipoint Nonlocal Problem for Ordinary Differential Equationsen_US
dc.typeMaster Thesis

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