Classical solutions of hyperbolic functional differential systems (Q624188)

The author studies a generalized Cauchy problem for quasi-linear hyperbolic functional differential systems. The unknown function is the functional variable in the system of equations and the partial derivatives appear in the classical sense. A result about local existence of solution is proved. The initial problem is transformed into a system of functional integral equations for an unknown function and for their partial derivatives with respect to spatial variables, after that the methods of bicharacteristics and integral inequalites are applied.