P. G. Dolya, “Solution to the homogeneous boundary value problems of free vibrations of a finite string”, Zh. Mat. Fiz. Anal. Geom., 2008, Volume 4, Number 2,Pages <nobr>237

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Solution to the homogeneous boundary value problems of free vibrations of a finite string

P. G. Dolya

Department of Mechanics and Mathematics, V.N. Karazin Kharkiv National University, 4 Svobody Sq., Kharkiv, 61077, Ukraine

Abstract: In the paper solutions to the homogeneous boundary value problems of free vibrations of a finite string are obtained in the d'Alembert form. The initial boundary value problems to vibrations of a string with free ends as well as with one end fixed and one free are solved.

Key words and phrases: vibrations of a string, periodic extension, d'Alembert's solution, wave equation.

MSC: 35L05, 35C05

Received: 29.03.2007

Language: English