This article is cited in 9 papers

About problem of Cauchy for linear hyperbolic system of the equations with zero generalized Laplace invariants

Yu. G. Voronova

Ufa State Aviation Technical University, Ufa, Russia

Abstract: In the work it is shown that the solution of the generalised problem of Cauchy for linear hyperbolic system of equations with zero generalized Laplace invariants is reduced to the solution of a problem of Gursa for system of the same kind. The exact solution of a problem of Cauchy for one two-componental system of the equations is constructed.

Keywords: Laplace transformations, Riman function, generalized Laplace invariants, problem of Gursa.

UDC: 517.9

Received: 01.04.2010

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