A Representative Solution to m-Order Linear Ordinary Differential Equation with Non local Conditions by Green's Functional Concept

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dc.authorid0000-0002-8848-0058
dc.authorscopusid54403532200
dc.authorscopusid6506228517
dc.authorwosidOruçoğlu, Kamil/ABH-4956-2020
dc.contributor.authorÖzen, Kemal
dc.contributor.authorOruçoğlu, Kamil
dc.date.accessioned2022-05-11T14:31:10Z
dc.date.available2022-05-11T14:31:10Z
dc.date.issued2012
dc.departmentFakülteler, Fen Edebiyat Fakültesi, Matematik Bölümü
dc.description.abstractIn this work, we investigate a linear completely nonhomogeneous nonlocal multipoint problem for an m-order ordinary differential equation with generally variable nonsmooth coefficients satisfying some general properties such as p-integrability and boundedness. A system of m + 1 integro-algebraic equations called the special adjoint system is constructed for this problem. Green's functional is a solution of this special adjoint system. Its first component corresponds to Green's function for the problem. The other components correspond to the unit effects of the conditions. A solution to the problem is an integral representation which is based on using this new Green's functional. Some illustrative implementations and comparisons are provided with some known results in order to demonstrate the advantages of the proposed approach.
dc.identifier.doi10.3846/13926292.2012.709471
dc.identifier.endpage588
dc.identifier.issn1392-6292
dc.identifier.issn1648-3510
dc.identifier.issue4en_US
dc.identifier.scopus2-s2.0-84865501101
dc.identifier.scopusqualityQ3
dc.identifier.startpage571
dc.identifier.urihttps://doi.org/10.3846/13926292.2012.709471
dc.identifier.urihttps://hdl.handle.net/20.500.11776/7347
dc.identifier.volume17
dc.identifier.wosWOS:000308113700009
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.institutionauthorÖzen, Kemal
dc.language.isoen
dc.publisherVilnius Gediminas Tech Univ
dc.relation.ispartofMathematical Modelling and Analysis
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectGreen's function
dc.subjectnonlocal boundary condition
dc.subjectnonlocal integral condition
dc.subjectboundary value problem
dc.subjectadjoint problem
dc.subjectAdditional Conditions
dc.subjectFormulas
dc.titleA Representative Solution to m-Order Linear Ordinary Differential Equation with Non local Conditions by Green's Functional Concept
dc.typeArticle

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