larryz 10, Did it work ok before this "black screen of death" started to occur?? Have you done any OS changes to the pc? Is unit still covered by warranty? Will "known good" old monitor work ok with pc? Have you performed the "flashlight test" that all cold cathode fluorescent lamp back-lit lcd monitor owners should know and understand the results of when black screen of death rears it's ugly head??? If BSOD not caused by software, could be problem with the monitor's internal "switch mode power supply/ccfl inverter supply" going into partial shut down (you see very faint image when flashlight is 1 inch from screen) or full shutdown ( no see image)!!! If +12v dc rail goes to shut down, then CCFL tubes will go off!!! No white light! If you do not know how the new style, screw-in curlie-Q, energy efficient, CFL light bulbs work, then go visit YOUTUBE for some video clips of ANY BRAND of CCFL back-lit lcd monitors having their SMPS/inverter supply being repaired. Remember this: Your lcd monitor isn't any different than any other brand in it's basic engineering design and mode of operation!!! If and when the "white LED" back-lit monitors hit the store shelves, then and only then will the CCFL electronic (600vac to 1000vac) ballast become history. Do some reading at this very old (2005) blog, even though not your model hp display. http://www.lesliewong.us/blog/2005/05/02/hp-pavilion-f1703-flat-panel-display-blackout-solution/
After you do your research, return here if you require more help or feel you have been helped by this response and would care to give it a rating on fixya. Good luck with the repair. 12fixlouie north of Windy City.