Problems turninh on Two Dab Radios?

I have two dab radios Logik L44DAB10 and Ferguson FRG-R116D which have both stopped turning on. When I press the on button or switch the systems stays off but if I try it a few hours or days later they sometimes come on. There seems to be pattern to when they work.

I have tried plugging into other sockets in the house and the problem remains. Could the problems be the switchs/buttons or the power source. Im stumped and any suggestions are welcome as I only bought the Logik to replace the ferguson when the problem occured now the Logik is doing the same thing