This article is cited in 3 papers

Short Communication
Differential Equations

The analogue of D'Alembert formula for hyperbolic differential equation of the third order with nonmultiple characteristics

J. O. Yakovleva

Samara State Technical University, Samara, Russia

Abstract: The Cauchy problem for the third order hyperbolic differential equation with nonmultiple characteristics is considered. The analogue of D'Alembert formula is obtained as a solution that allows describing the propagation of initial displacement, initial velocity and initial acceleration.

Keywords: hyperbolic differential equation of the third order, nonmultiple characteristics, Cauchy problem, D'Alembert formula.

UDC: 517.956.3

MSC: 35L35

Original article submitted 05/XII/2011
revision submitted – 18/I/2011

DOI: 10.14498/vsgtu1028

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