Short Communication
Differential Equations

Cauchy problem for the hyperbolic system with mixed derivative

E. A. Kozlova

Samara State Technical University, Samara, Russia

Abstract: Cauchy problem for the hyperbolic system with mixed derivative is considered. The given system is transformed to the triangular or diagonal form for the further equations separation. The Cauchy problem for each equation (homogeneous or inhomogeneous) is obtained.

Keywords: Cauchy problem, hyperbolic system, mixed derivative.

UDC: 517.956.3

MSC: 35L51

Original article submitted 01/VII/2012
revision submitted – 15/XI/2012

DOI: 10.14498/vsgtu1100

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