It may be the back light.It can be quite cheap to buy them if you find them on the net.But,it is fairly tough to fit the new lamps because you have to pull the lcd screen apart.Get it wrong and you've had it.Try looking on ebay for a faulty portable dvd player.
The only other fix you should always try first is a good dvd cleaner. Some come with system support as well.
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Justerri