On Classic Solution of the Problem for a Homogeneous Wave Equation with Fixed End-Points and Zero Initial Velocity

The paper gives necessary and sufficient conditions of classic solution for a homogeneous wave equation with a summable potential, fixed end-point, and zero initial velocity. With the use of Fourier method and Krylov method of improving series rate convergence an analogue of d’Alembert formula is de...

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Bibliographic Details
Main Author: Avgust Petrovich Khromov
Format: Article
Language:English
Published: Saratov State University 2019-08-01
Series:Известия Саратовского университета. Новая серия. Серия Математика. Механика. Информатика
Subjects:
Online Access:https://mmi.sgu.ru/sites/mmi.sgu.ru/files/2019/08/280-288khromov.pdf