Solvability of A Nonlocal Problem By A Novel Concept of Fundamental Function

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dc.contributor.authorÖzen, Kemal
dc.date.accessioned2022-05-11T14:31:23Z
dc.date.available2022-05-11T14:31:23Z
dc.date.issued2018
dc.departmentFakülteler, Fen Edebiyat Fakültesi, Matematik Bölümü
dc.description.abstractCauchy function, Green function and Riemann function are the several of the fundamental functions used frequently in the expression of a fundamental solution in the literature. In order to construct such functions, various ideas can be considered. The lesser-known one of these ideas is contained in the papers [1-4] by Seyidali S. Akhiev. Inspired by these papers, the solvability of some problems [12, 14, 15, 17-19] has been investigated. In this work, a novel kind of adjoint problem for a generally nonlocal problem, and also Green's functional via the solvability of that adjoint problem are constructed [21]. By means of the obtained Green's functional, an integral representation for the solution of the nonlocal problem is established.(1)
dc.description.sponsorshipNamik Kemal University within The Supporting Programme For Participation To Scientific Activities
dc.description.sponsorshipThis work was partially supported by Namik Kemal University within The Supporting Programme For Participation To Scientific Activities.
dc.identifier.endpage137
dc.identifier.issn1512-0015
dc.identifier.scopus2-s2.0-85069526559
dc.identifier.scopusqualityQ4
dc.identifier.startpage129
dc.identifier.urihttps://hdl.handle.net/20.500.11776/7433
dc.identifier.volume75
dc.identifier.wosWOS:000457235600005
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.institutionauthorÖzen, Kemal
dc.language.isoen
dc.publisherGeorgian Natl Acad Sciences
dc.relation.ispartofMemoirs on Differential Equations and Mathematical Physics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.subjectGreen's function
dc.subjectnonlocal condition
dc.subjectadjoint problem
dc.subjectuncoupled linear system
dc.subjectDifferential-Systems
dc.subjectEquation
dc.titleSolvability of A Nonlocal Problem By A Novel Concept of Fundamental Function
dc.typeArticle

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