Emachine E19T5W Monitor

I have more or less the same problem. Mine only stays on for a second though, but it started out like yours. I took it apart and found that the CCFL bulbs at the top of the screen were so poorly put together that they arced out and in the end melted the end of the back panel bulbs off. The monitor only lasted a year and a half and now it's toast unless I can find new back panal bulbs.
If the screen feels excessivly hot around the corners or if you here a snapping noises (arcing) yours is going the same route as mine. If you want to get rid of yours I'll take it.