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

Basit Öğe Kaydı
dc.contributor.authorRasulov, Mahir
dc.contributor.authorAslan, Zafer
dc.contributor.authorSinsoysal, Bahaddin
dc.contributor.authorBal, Hakan
dc.date.accessioned2024-03-13T10:30:19Z
dc.date.available2024-03-13T10:30:19Z
dc.date.issued2017
dc.departmentİstanbul Beykent Üniversitesien_US
dc.description17th International Conference on Computational Science and its Applications (ICCSA) -- JUL 03-06, 2017 -- Trieste, ITALYen_US
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.en_US
dc.description.sponsorshipUniv Trieste,Univ Perugia,Univ Basilicata,Monash Univ,Kyushu Sangyo Univ,Univ Minhoen_US
dc.description.sponsorshipInternational Centre for Theoretical Physics (ICTP)- Associateship Programen_US
dc.description.sponsorshipThe authors gratefully appreciate and acknowledge the support of International Centre for Theoretical Physics (ICTP)- Associateship Program.en_US
dc.identifier.doi10.1007/978-3-319-62407-5_54
dc.identifier.endpage734en_US
dc.identifier.isbn978-3-319-62407-5
dc.identifier.issn0302-9743
dc.identifier.issn1611-3349
dc.identifier.scopus2-s2.0-85026773598en_US
dc.identifier.scopusqualityQ3en_US
dc.identifier.startpage726en_US
dc.identifier.urihttps://doi.org/10.1007/978-3-319-62407-5_54
dc.identifier.urihttps://hdl.handle.net/20.500.12662/3264
dc.identifier.volume10409en_US
dc.identifier.wosWOS:000451372400054en_US
dc.identifier.wosqualityN/Aen_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherSpringer International Publishing Agen_US
dc.relation.ispartofComputational Science And Its Applications - Iccsa 2017, Pt Vien_US
dc.relation.publicationcategoryKonferans Öğesi - Uluslararası - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectD'Alembert type solutionen_US
dc.subjectFourth order hyperbolic equationen_US
dc.titleThe D'Alembert Type Solution of the Cauchy Problem for the Homogeneous with Respect to Fourth Order Derivatives for Hyperbolic Equationen_US
dc.typeConference Objecten_US

Dosyalar

Koleksiyon

WoS İndeksli Yayınlar Koleksiyonu
Scopus İndeksli Yayınlar Koleksiyonu