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JOURNALS // Sibirskii Zhurnal Industrial'noi Matematiki // Archive
Sib. Zh. Ind. Mat., 2009 Volume 12, Number 4, Pages 51–63 (Mi sjim582)
The Generalized Cauchy Problem for a Quasilinear System with Two Singularities

A. L. Kazakov

Institute of System Dynamics and Control Theory, SB RAS, Novosibirsk

Abstract: We consider the generalized Cauchy problem with data on two characteristic surfaces. We prove an existence and uniqueness theorem for solutions to problems in the class of analytic functions.

Keywords: partial differential equations, quasilinear system, initial-boundary value problem, analytic solution, series, convergence, majorant.

UDC: 517.95

Received: 24.04.2009



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