Time scales (or measure chains) have been proposed by Stefan Hilger in order to obtain a unified theory for differential and difference equations. The study of dynamic systems on time scales not only unifies continuous and discrete processes, but also helps in revealing diversities in the corresponding results.

Of course the theory does not just apply to differential and to difference equations, but also to "intermediate" cases. In this talk we consider such a case, namely a difference equation with step size h. We will apply Hilger's method and obtain solutions to such equations.