The company offered little 'by way of explanation' for the delays. [=as a way of explaining why there were delays]
Some of the more technical terms need/require 'explanation'. [=they need to be explained]
a likely/probable/possible/plausible 'explanation of' how the accident occurred
(..) The first morning I was with him, he made me eggs just like this. - Really? - I swear. That is a strange coincidence. Although there's an obvious explanation. - There is? - Yes, Evey. I am V. At last you know the truth. You're stunned, I know. (..)2005 V for Vendetta