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  • 1 Institute of Mathematics, University of Gdańsk Wit Stwosz St. 57, 80-952 Gdańsk, Poland
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Weak solutions of quasilinear hyperbolic systems in the second canonical form with unbounded delay are investigated. The phase space is defined as an abstract functional space satisfying some suitable axioms. A theorem on the existence, uniqueness and continuous dependence upon initial data is given. The method of bicharacteristics and the Banach fixed-point principle are used.

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