Geodesic
On Quasilinear Generalized Canonical Hyperbolic Systems of First-Order Partial Differential Equations
Matematičeskie zametki, Tome 72 (2002) no. 5, pp. 729-738 
A. D. Myshkis. On Quasilinear Generalized Canonical Hyperbolic Systems of First-Order Partial Differential Equations. Matematičeskie zametki, Tome 72 (2002) no. 5, pp. 729-738. http://geodesic.mathdoc.fr/item/MZM_2002_72_5_a11/
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     author = {A. D. Myshkis},
     title = {On {Quasilinear} {Generalized} {Canonical} {Hyperbolic} {Systems} of {First-Order} {Partial} {Differential} {Equations}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {729--738},
     year = {2002},
     volume = {72},
     number = {5},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2002_72_5_a11/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

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.