Zhurnal Matematicheskoi Fiziki, Analiza, Geometrii [Journal of Mathematical Physics, Analysis, Geometry]
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Zhurnal Matematicheskoi Fiziki, Analiza, Geometrii [Journal of Mathematical Physics, Analysis, Geometry], 2008, Volume 4, Number 2, Pages 237–251 (Mi jmag94)  
This article is cited in 1 scientific paper (total in 1 paper)

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
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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.
Received: 29.03.2007
Bibliographic databases:
Document Type: Article
MSC: 35L05, 35C05
Language: English
Citation: P. G. Dolya, “Solution to the homogeneous boundary value problems of free vibrations of a finite string”, Zh. Mat. Fiz. Anal. Geom., 4:2 (2008), 237–251
Citation in format AMSBIB
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\by P.~G.~Dolya
\paper Solution to the homogeneous boundary value problems of free vibrations of a finite string
\jour Zh. Mat. Fiz. Anal. Geom.
\yr 2008
\vol 4
\issue 2
\pages 237--251
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\zmath{https://zbmath.org/?q=an:1178.35114}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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