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

Анотація

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.

Mathematics Subject Classification: 35L05, 35C05.

Ключові слова:

vibrations of a string, periodic extension, d'Alembert's solution, wave equation

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Як цитувати

(1)
P. G. Dolya, Solution to the Homogeneous Boundary Value Problems of Free Vibrations of a Finite String, Журн. мат. фіз. анал. геом. 4 (2008), 237-251.

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Том 4 № 2 (2008)

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