Un problema ai limiti per sistemi integrodifferenziali non lineari di tipo iperbolico

A Theorem of existence, uniqueness and continups dependence on boundary data is proved concerning a.e. solutions of a boundary value problem for a system of quasilinear hyperbolic integrodifferential equations with several independent variables, including the Cauchy Problem as a particular case. The proof is constructive and is based on results due to L.Cesari for quasiinear hyperbolic systems in bicharacteistic form. Problems of this kind arise from the Maxwell Equations of nonlinear dispersive Optics with linear hereditary terms in the constitutive relations.