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.
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Myshkis, A.D. On Quasilinear Generalized Canonical Hyperbolic Systems of First-Order Partial Differential Equations. Mathematical Notes 72, 672–681 (2002). https://doi.org/10.1023/A:1021413223657
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DOI: https://doi.org/10.1023/A:1021413223657