Title :
On the generalized solutions of initial-boundary problems for the wave equation, obtained by using Laguerre integral transformation
Author :
Litynskyy, Svyatoslav ; Muzychuk, Anatoliy
Author_Institution :
Ivan Franko Nat. Univ. of Lviv, Lviv, Ukraine
Abstract :
It is shown that Fourier-Laguerre serie, which implements the inverse integral transform, can be interpreted as a generalized solution of the nonstationary problem.
Keywords :
Fourier series; initial value problems; inverse transforms; wave equations; Fourier-Laguerre serie; Laguerre integral transformation; generalized solution; initial-boundary problems; inverse integral transform; nonstationary problem; wave equation; Boundary conditions; Integral equations; Polynomials; Propagation; Transforms;
Conference_Titel :
Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory (DIPED), 2013 XVIIIth International Seminar/Workshop on
Conference_Location :
Lviv
Print_ISBN :
978-966-02-6765-7
