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Local generalized solutions of mixed problems for quasilinear hyperbolic systems of functional partial differential equations in two independent variables. (English) Zbl 0685.35065
Summary: A theorem of existence and uniqueness of generalized (in the sense almost everywhere) solutions of mixed problems for quasilinear hyperbolic systems of functional partial differential equations in two independent variables is proved.

MSC:
35L60 First-order nonlinear hyperbolic equations
35D05 Existence of generalized solutions of PDE (MSC2000)
35L50 Initial-boundary value problems for first-order hyperbolic systems
Keywords:
mixed problems
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