Not sure what to suggest, except to test the display with another known good
computer in order to check for hardware failure. I have an Apple aluminum 20"
cinema display, early model, from approximately the same era, and it does OK.
•Apple Cinema Display (20-, 23-, and 30-inch DVI) - Technical Specifications
•Get help with your Apple Cinema Display - Apple Support
While my fairly new Mac Mini shipped with Mavericks & does not have Yosemite,
my concern due to age, that some costly component in the display will fail. Not
sure how useful or well any online repair guides may be used to attempt a fix.
•Apple Display Repair - guides - iFixit: (has a few models, some with no info)
https://www.ifixit.com/Device/Apple_Display
Some online sources show replacement power supplies, etc so that is an item
that could be contributory to your experience, if the unit has failed.
Troubleshooting these displays may be essentially that, trouble. Avoid the other
part, since I've heard they don't do well as targets; that depreciates repairability.
So if you can get another computer that supports the display, with correct adapter
then you may be able to test it for a failure. There may be an issue related to the
graphic driver update/upgrade, though I've not read about those being a cause, yet.
Good luck in this matter! 🙂