This article is cited in 11 papers

Procedings of the 3nd International Conference "Mathematical Physics and its Applications"
Equations of Mathematical Physics

The characteristic problem for the system of the general hyperbolic differential equations of the third order with nonmultiple characteristics

A. A. Andreev, J. O. Yakovleva

Samara State Technical University, Samara, 443100, Russia

Abstract: We consider the well-posed characteristic problem for the system of the general hyperbolic differential equations of the third order with nonmultiple characteristics. The solution of this problem is constructed in an explicit form. The example of the analogue of Goursat problem for a particular system of the hyperbolic differential equations of the third order is given.

Keywords: system of the general hyperbolic differential equations, nonmultiple characteristics, characteristic problem, Hadamard's well-posedness.

UDC: 517.956.3

MSC: 35L25

Original article submitted 16/XI/2012
revision submitted – 27/I/2013

DOI: 10.14498/vsgtu1182

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