Geodesic
The Euler Transformation and a Solution of an Initial-Boundary Problem
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 2 (2009) no. 2, pp. 167-175.

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The construction of transformations and solutions of a linear hyperbolic partial differential equation was considered. The method of Euler was presented and the solution of the initial-boundary problem for equations with coefficients from some family of functions was constructed.
Mots-clés : transformation
Keywords: initial-boundary problem, hyperbolic equation. 
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Ivan V. Korostelev. The Euler Transformation and a Solution of an  Initial-Boundary Problem. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 2 (2009) no. 2, pp. 167-175. http://geodesic.mathdoc.fr/item/JSFU_2009_2_2_a4/

[1] E. I. Grigolyuk, I. T. Selezov, Neklassicheskie teorii kolebanii sterzhnei, plastin i obolochek, VINITI, M., 1973 | Zbl

[2] F. Morz, Kolebaniya i zvuk, GITTL, M.–L., 1949

[3] L. Eiler, Integralnoe ischislenie, T. 3, GIFML, M., 1958

[4] O. V. Kaptsov, “Ekvivalentnost lineinykh differentsialnykh uravnenii s chastnymi proizvodnymi i preobrazovaniya Eilera–Darbu”, Vychislitelnye tekhnologii, 12:4 (2007), 59–72

[5] R. Kurant, Uravneniya s chastnymi proizvodnymi, Mir, M., 1964 | MR

[6] B. P. Rozhdestvenskii, N. N. Yanenko, Sistemy kvazilineinykh uravnenii, Nauka, M., 1978

[7] V. S. Vladimirov, Uravneniya matematicheskoi fiziki, Nauka, M., 1971 | MR | Zbl