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JOURNALS // Journal of Siberian Federal University. Mathematics & Physics // Archive

J. Sib. Fed. Univ. Math. Phys., 2009 Volume 2, Issue 2, Pages 167–175 (Mi jsfu62)

The Euler Transformation and a Solution of an Initial-Boundary Problem

Ivan V. Korostelev

Institute of Computational Modelling, Siberian Branch of the Russian Academy of Sciences, Krasnoyarsk, Russia

Abstract: 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.

Keywords: transformation, initial-boundary problem, hyperbolic equation.

UDC: 517.955+517.954+517.956.3

Received: 20.03.2009
Received in revised form: 21.04.2009
Accepted: 30.04.2009



© Steklov Math. Inst. of RAS, 2024