Green's Functional Concept for A Nonlocal Problem

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dc.authorid0000-0002-8848-0058
dc.authorwosidOruçoğlu, Kamil/ABH-4956-2020
dc.contributor.authorÖzen, Kemal
dc.contributor.authorOruçoğlu, Kamil
dc.date.accessioned2022-05-11T14:31:12Z
dc.date.available2022-05-11T14:31:12Z
dc.date.issued2013
dc.departmentFakülteler, Fen Edebiyat Fakültesi, Matematik Bölümü
dc.description.abstractIn this work, by Green's functional concept, in order to obtain Green's solution we concentrate on a new constructive technique by which a linear completely nonhomogeneous nonlocal problem for a second-order loaded differential equation with generally variable coefficients satisfying some general properties such as p-integrability and boundedness is transformed into one and only one integral equation. A system of three integro-algebraic equations called the special adjoint system is obtained for this problem. A solution of this special adjoint system is Green's functional which enables us to determine Green's function and Green's solution for the problem. Two illustrative applications are provided.
dc.identifier.endpage446
dc.identifier.issn1303-5010
dc.identifier.issue4en_US
dc.identifier.scopus2-s2.0-84961712299
dc.identifier.scopusqualityQ3
dc.identifier.startpage437
dc.identifier.urihttps://hdl.handle.net/20.500.11776/7362
dc.identifier.volume42
dc.identifier.wosWOS:000329081500014
dc.identifier.wosqualityQ3
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.institutionauthorÖzen, Kemal
dc.language.isoen
dc.publisherHacettepe Univ, Fac Sci
dc.relation.ispartofHacettepe Journal of Mathematics and Statistics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.subjectGreen's function
dc.subjectloaded differential equation
dc.subjectnonlocal condition
dc.subjectadjoint problem
dc.subjectEquations
dc.titleGreen's Functional Concept for A Nonlocal Problem
dc.typeArticle

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