This may be related to a power supply problem that these monitor have. I think you need to fix the power supply board inside the display itself. It's giving the logic board and backlights fluctuating power and they have weird / intermittant problems.
There is a supplier of power boards online, you can google them with numbers from the board but I don't suggest using them. Look for information on the company before you buy from them. I've seen a lot of complaints for this "international" company.


First check that you are getting a strong 12V from the external power adapter. If so, the problems may be as simple as changing out a few capacitors. (about $8 in new capacitors, plus shipping)

On the PL2010M monitors you need the following parts. I've added digikey part numbers to make life easier:

P10271-ND 220UF 25V Capacitor (3 or 4 depending on PS)
P10275-ND 470UF 25V Capacitor (1)
P10221-ND 470UF 10V Capacitor (4)

If you're not comfortable with soldering and de-soldering electronics, take it to a local technician for the work and give them the parts list above. That should work to fix your issues. I've fixed several of these monitors so far. All the problems were related to the power supplies having bad capacitors. Same with the Planar PL1700 LCD monitors.
There is also a single capacitor on the display logic board, but I haven't seen this one go bad yet.
Good luck!

-Chip