  Using the framework of Colombeau algebras of generalized functions, we prove
the existence and uniqueness results for global generalized solvability of
semilinear hyperbolic systems with nonlinear nonlocal boundary conditions. We
admit strong singularities in the differential equations as well as in the
initial and boundary conditions. Our analysis covers the case of non-Lipshitz
nonlinearities both in the differential equations and in the boundary
conditions.
