The D'Alembert Type Solution of the Cauchy Problem for the Homogeneous with Respect to Fourth Order Derivatives for Hyperbolic Equation

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dc.authoridRasulov, Mahir/0000-0002-8393-2019
dc.contributor.authorRasulov, Mahir
dc.contributor.authorAslan, Zafer
dc.contributor.authorSinsoysal, Bahaddin
dc.contributor.authorBal, Hakan
dc.date.accessioned2025-03-26T17:35:03Z
dc.date.available2025-03-26T17:35:03Z
dc.date.issued2017
dc.departmentİstanbul Esenyurt Üniversitesi
dc.description17th International Conference on Computational Science and its Applications (ICCSA) -- JUL 03-06, 2017 -- Trieste, ITALY
dc.description.abstractIn this paper the D'Alembert type solution for the following Sigma(i=0) a(i) partial derivative(4)u (x, t)/partial derivative t(4)-(i)partial derivative x(i) = 0, partial derivative(k) u(x, t)/partial derivative t(k) |(t=0) = phi(k) (x), (k = 0, 1, 2, 3) Cauchy problem is constructed. Here, a(i), (i = 1, 2, 3, 4) and fk (x), (k = 1, 2, 3, 4) are given constants and functions, respectively. The cases where the roots of the characteristic equation are folded are examined and compact expressions for the solutions are obtained. The obtained solutions allow proving the uniqueness and existence of the solutions of the considered problem.
dc.description.sponsorshipUniv Trieste,Univ Perugia,Univ Basilicata,Monash Univ,Kyushu Sangyo Univ,Univ Minho
dc.description.sponsorshipInternational Centre for Theoretical Physics (ICTP)- Associateship Program
dc.description.sponsorshipThe authors gratefully appreciate and acknowledge the support of International Centre for Theoretical Physics (ICTP)- Associateship Program.
dc.identifier.doi10.1007/978-3-319-62407-5_54
dc.identifier.endpage734
dc.identifier.isbn978-3-319-62407-5
dc.identifier.issn0302-9743
dc.identifier.issn1611-3349
dc.identifier.scopus2-s2.0-85026773598
dc.identifier.scopusqualityQ3
dc.identifier.startpage726
dc.identifier.urihttps://doi.org/10.1007/978-3-319-62407-5_54
dc.identifier.urihttps://hdl.handle.net/20.500.14704/1021
dc.identifier.volume10409
dc.identifier.wosWOS:000451372400054
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherSpringer International Publishing Ag
dc.relation.ispartofComputational Science and Its Applications - Iccsa 2017, Pt Vi
dc.relation.publicationcategoryKonferans Öğesi - Uluslararası - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_WOS_20250326
dc.subjectD'Alembert type solution; Fourth order hyperbolic equation
dc.titleThe D'Alembert Type Solution of the Cauchy Problem for the Homogeneous with Respect to Fourth Order Derivatives for Hyperbolic Equation
dc.typeConference Object

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