The D'Alembert Type Solution of the Cauchy Problem for the Homogeneous with Respect to Fourth Order Derivatives for Hyperbolic Equation
Küçük Resim Yok
Tarih
2017
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Springer International Publishing Ag
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In 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.
Açıklama
17th International Conference on Computational Science and its Applications (ICCSA) -- JUL 03-06, 2017 -- Trieste, ITALY
Anahtar Kelimeler
D'Alembert type solution, Fourth order hyperbolic equation
Kaynak
Computational Science And Its Applications - Iccsa 2017, Pt Vi
WoS Q Değeri
N/A
Scopus Q Değeri
Q3
Cilt
10409
