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
(..) with genies. See, we need you. Come on, let's orb. No, no, no! Listen. I am not gonna leave him high and dry again without an explanation. So your demon can wait five minutes. Open sesame! - What happened? - The genie was stolen, (..)2004 TvShow: Charmed Title: I Dream of Phoebe Season: 6 Episode 15