Email this article Generalized d’Alembert Formula for the Wave Equation with Discontinuous Coefficients
- Authors: Anikonov D.S.1, Konovalova D.S.2
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Affiliations:
- Novosibirsk State University
- Sobolev Institute of Mathematics
- Issue: Vol 55, No 2 (2019)
- Pages: 270-273
- Section: Short Communications
- URL: https://journals.rcsi.science/0012-2661/article/view/154950
- DOI: https://doi.org/10.1134/S0012266119020113
- ID: 154950
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Abstract
We consider a second-order differential equation that is a mathematical model of transverse vibrations of a string or longitudinal vibrations of an elastic rod. The coefficients of the second derivatives are piecewise constant functions. An existence and uniqueness theorem is proved and an explicit formula is given for the generalized solution of the Cauchy problem.
About the authors
D. S. Anikonov
Novosibirsk State University
Author for correspondence.
Email: anik@math.nsc.ru
Russian Federation, Novosibirsk, 630090
D. S. Konovalova
Sobolev Institute of Mathematics
Email: anik@math.nsc.ru
Russian Federation, Novosibirsk, 630090
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