This article is cited in 1 paper

On Quasilinear Generalized Canonical Hyperbolic Systems of First-Order Partial Differential Equations

A. D. Myshkis

Moscow State University of Railway Communications

Abstract: By using the method of characteristics, we prove theorems on continuous solvability and on properties of solutions of the mixed Cauchy boundary-value problem for the generalized canonical hyperbolic system of quasilinear partial differential equations of the first order in a general connected domain in $(m+1)$-dimensions.

UDC: 517.956.3

Received: 18.12.2000

DOI: 10.4213/mzm462

 English version: Mathematical Notes, 2002, 72:5, 672–681

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