Generalized d’Alembert Formula for the Wave Equation with Discontinuous Coefficients

Generalized d’Alembert Formula for the Wave Equation with Discontinuous Coefficients Full article

Journal

Differential Equations
ISSN: 0012-2661 , E-ISSN: 1608-3083

Output data

Year: 2019, Volume: 55, Number: 2, Pages: 270-273 Pages count : 4 DOI: 10.1134/S0012266119020113

Authors

Anikonov D.S. ¹ , Konovalova D.S. ²

Affiliations

1	Novosibirsk State University, Novosibirsk, 630090, Russian Federation
2	Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk, 630090, Russian Federation

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. © 2019, Pleiades Publishing, Ltd.

Anikonov D.S. , Konovalova D.S.
Generalized d’Alembert Formula for the Wave Equation with Discontinuous Coefficients
Differential Equations. 2019. V.55. N2. P.270-273. DOI: 10.1134/S0012266119020113 WOS Scopus OpenAlex

Web of science:	WOS:000463811900011
Scopus:	2-s2.0-85063789581
OpenAlex:	W2929216542

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