Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X



On the vibrations of a heterogeneous string

Author: J. L. Synge
Journal: Quart. Appl. Math. 39 (1981), 292-297
MSC: Primary 35L05; Secondary 73K03
DOI: https://doi.org/10.1090/qam/625476
MathSciNet review: 625476
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Abstract: It is shown that the vibrations of a heterogeneous string can be represented by an infinite series, each term of which is the result of applying a linear integral operator to a function of position and time furnished by the initial data. The method applies also to plane waves of compression or shear in a heterogeneous elastic solid for which the elastic constants and density are functions of only one coordinate and the waves move in the direction of that coordinate.

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DOI: https://doi.org/10.1090/qam/625476
Article copyright: © Copyright 1981 American Mathematical Society

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