On a Generalization of the Initial-Boundary Problem for the Vibrating String Equation

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dc.contributor.authorAmanov, Djumaklich
dc.contributor.authorIbragimov, Gafurjan
dc.contributor.authorKılıçman, Adem
dc.date.accessioned2019-09-01T21:20:19Z
dc.date.available2019-09-01T21:20:19Z
dc.date.issued2019en_US
dc.departmentMühendislik ve Mimarlık Fakültesien_US
dc.description.abstractIn the present paper, we study a generalization of the initial-boundary problem for the inhomogeneous vibrating string equation. The initial conditions include the higher order derivatives of the unknown function. The problem is studied under homogeneous boundary conditions of the first kind. The uniqueness and existence of a regular solution of the problem are proved. To prove the main result we use the spectral decomposition method.en_US
dc.description.sponsorshipUPM/700-2/1/GPB/2017/9590200en_US
dc.identifier.doi10.3390/sym11010073en_US
dc.identifier.issn2073-8994
dc.identifier.issue1en_US
dc.identifier.scopus2-s2.0-85061145520en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.urihttps://hdl.handle.net/11363/1433
dc.identifier.urihttps://doi.org/
dc.identifier.volume11en_US
dc.identifier.wosWOS:000459739500073en_US
dc.identifier.wosqualityQ2en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherMDPI, ST ALBAN-ANLAGE 66, CH-4052 BASEL, SWITZERLANDen_US
dc.relation.ispartofSYMMETRY-BASELen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 United States*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/us/*
dc.subjectvibrating string equationen_US
dc.subjectinitial conditionsen_US
dc.subjectspectral decompositionen_US
dc.subjectregular solutionen_US
dc.subjectthe uniqueness of the solutionen_US
dc.subjectthe existence of a solutionen_US
dc.subjectMultidisciplinary Sciencesen_US
dc.subjectINTERDISCIPLINARY RESEARCH AREASen_US
dc.subjectTECHNOLOGYen_US
dc.titleOn a Generalization of the Initial-Boundary Problem for the Vibrating String Equationen_US
dc.typeArticleen_US

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