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.
Hale, J. K. AND Kato, J., Phase space for retarded equations with infinite delay, Funkcial. Ekvac.21 (1978), 11-41. MR58#11793
'Phase space for retarded equations with infinite delay' () 21Funkcial. Ekvac.: 11-41.
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