Dirichlet Problem for a Generalized Inhomogeneous Polyharmonic Equation in an Annular Domain

dc.authorid Celebi, Ahmet Okay/0000-0001-5256-1035
dc.authorid Aksoy, Umit/0000-0002-6014-1898
dc.authorscopusid 24402879000
dc.authorscopusid 6701476307
dc.authorwosid Celebi, Ahmet Okay/H-9913-2018
dc.authorwosid Celebi, Ahmet Okay/I-8401-2019
dc.contributor.author Aksoy, U.
dc.contributor.author Celebi, A. O.
dc.contributor.other Mathematics
dc.date.accessioned 2024-07-05T15:11:17Z
dc.date.available 2024-07-05T15:11:17Z
dc.date.issued 2012
dc.department Atılım University en_US
dc.department-temp [Celebi, A. O.] Yeditepe Univ, Dept Math, TR-34755 Istanbul, Turkey; [Aksoy, U.] Atilim Univ, Dept Math, TR-06836 Ankara, Turkey en_US
dc.description Celebi, Ahmet Okay/0000-0001-5256-1035; Aksoy, Umit/0000-0002-6014-1898 en_US
dc.description.abstract In this article, we investigate the solvability of the Dirichlet problems in ring domains for elliptic linear complex partial differential equations having polyharmonic operators as main parts. First, we give higher order Green functions as fundamental solutions of the homogeneous problems using the iteration of harmonic Green functions for ring domains. Second, we introduce some classes of operators related to Dirichlet problems together with their basic properties. Next, we transform the original problems into equivalent singular integral equations. Finally, solvability of the problems is discussed by defining the adjoint problems and using Fredholm alternative. en_US
dc.identifier.citationcount 3
dc.identifier.doi 10.1080/17476933.2011.638715
dc.identifier.endpage 241 en_US
dc.identifier.issn 1747-6933
dc.identifier.issn 1747-6941
dc.identifier.issue 2-4 en_US
dc.identifier.scopus 2-s2.0-84857149466
dc.identifier.scopusquality Q3
dc.identifier.startpage 229 en_US
dc.identifier.uri https://doi.org/10.1080/17476933.2011.638715
dc.identifier.uri https://hdl.handle.net/20.500.14411/1431
dc.identifier.volume 57 en_US
dc.identifier.wos WOS:000301597500008
dc.identifier.wosquality Q2
dc.institutionauthor Aksoy, Ümit
dc.language.iso en en_US
dc.publisher Taylor & Francis Ltd en_US
dc.relation.publicationcategory Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı en_US
dc.rights info:eu-repo/semantics/closedAccess en_US
dc.scopus.citedbyCount 7
dc.subject Dirichlet problem en_US
dc.subject Green function en_US
dc.subject higher order Poisson equation en_US
dc.subject polyharmonic equation en_US
dc.subject doubly connected domain en_US
dc.title Dirichlet Problem for a Generalized Inhomogeneous Polyharmonic Equation in an Annular Domain en_US
dc.type Article en_US
dc.wos.citedbyCount 4
dspace.entity.type Publication
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relation.isOrgUnitOfPublication.latestForDiscovery 31ddeb89-24da-4427-917a-250e710b969c

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