Does the monitor turn on after a while, sometimes they may need time to warmup and depending on ambient temperature it may take a long wait... use a hair dryer or heater to warm it up.. if it works, the monitor may need a new Inverter Board
Problem with LCD monitor not turning until warmed up
http://www.neowin.net/forum/topic/688000-problem-with-lcd-monitor-not-turning-until-warmed-up/