The purpose of this paper is to provide a survey of an approach to evolutionary problems originally developed in {\it Int. J. Pure Appl. Math.} {\bf 50}, No. 2, (2009) 283-288, and {\it Math. Methods Appl. Sci.} {\bf 32}, No. 14, (2009) 1768-1803, for a special case. The ideas are extended to a much larger problem class and the utility of the approach is exemplified by a Robin type initial boundary value problem for acoustic waves. The paper concludes
with an outlook to open directions of further research.
