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Generalized d’Alembert Formula for the Wave Equation with Discontinuous Coefficients. / Anikonov, D. S.; Konovalova, D. S.

In: Differential Equations, Vol. 55, No. 2, 01.02.2019, p. 270-273.

Research output: Contribution to journal › Article › peer-review

Harvard

Anikonov, DS & Konovalova, DS 2019, 'Generalized d’Alembert Formula for the Wave Equation with Discontinuous Coefficients', Differential Equations, vol. 55, no. 2, pp. 270-273. https://doi.org/10.1134/S0012266119020113

APA

Anikonov, D. S., & Konovalova, D. S. (2019). Generalized d’Alembert Formula for the Wave Equation with Discontinuous Coefficients. Differential Equations, 55(2), 270-273. https://doi.org/10.1134/S0012266119020113

Vancouver

Anikonov DS, Konovalova DS. Generalized d’Alembert Formula for the Wave Equation with Discontinuous Coefficients. Differential Equations. 2019 Feb 1;55(2):270-273. doi: 10.1134/S0012266119020113

Author

Anikonov, D. S. ; Konovalova, D. S. / Generalized d’Alembert Formula for the Wave Equation with Discontinuous Coefficients. In: Differential Equations. 2019 ; Vol. 55, No. 2. pp. 270-273.

BibTeX

@article{74de48e260ec4d589f77fbf052d4ab72,
title = "Generalized d{\textquoteright}Alembert Formula for the Wave Equation with Discontinuous Coefficients",
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.",
author = "Anikonov, {D. S.} and Konovalova, {D. S.}",
year = "2019",
month = feb,
day = "1",
doi = "10.1134/S0012266119020113",
language = "English",
volume = "55",
pages = "270--273",
journal = "Differential Equations",
issn = "0012-2661",
publisher = "Maik Nauka-Interperiodica Publishing",
number = "2",

}

RIS

TY - JOUR

T1 - Generalized d’Alembert Formula for the Wave Equation with Discontinuous Coefficients

AU - Anikonov, D. S.

AU - Konovalova, D. S.

PY - 2019/2/1

Y1 - 2019/2/1

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=85063789581&partnerID=8YFLogxK

U2 - 10.1134/S0012266119020113

DO - 10.1134/S0012266119020113

M3 - Article

AN - SCOPUS:85063789581

VL - 55

SP - 270

EP - 273

JO - Differential Equations

JF - Differential Equations

SN - 0012-2661

IS - 2

ER -

ID: 19359105