Based on the representation theory of the q-deformed Lorentz and Poincar\'e
symmeties q-deformed relativistic wave equation are constructed. The most
important cases of the Dirac-, Proca-, Rarita-Schwinger- and Maxwell- equations
are treated explicitly. The q-deformed wave operators look structurally like
the undeformed ones but they consist of the generators of a non-commu\-ta\-tive
Minkowski space. The existence of the q-deformed wave equations together with
previous existence of the q-deformed wave equations together with previous
results on the representation theory of the q-deformed Poincar\'e symmetry
solve the q-deformed relativistic one particle problem.Comment: 17 Page