On a system of nonlinear partial functional differential equations

László Simon

We consider a system of a semilinear hyperbolic functional differential equation (where the lower order terms contain functional dependence on the unknown functions) with initial and boundary conditions and a quasilinear elliptic functional differential equation (containing $t$ as a parameter) with boundary conditions. Existence of solutions for $t\in (0,T)$ will be shown and some examples will be formulated.