Have you tried putting the screen to some light? It could easily be the backlight. Happens pretty often, on any screen.
Take a flashlight to it and see if you can see anything on the LCD.
If you can, it's easiest to just replace the display, but it can also be an inverter. Though it is possible to replace just the backlight, the work for it isn't worth it, unless you're really wanting to go that route.
If there's a store around you that can take a look, you might see if they can tell if it's your inverter or the LCD itself.