On my LP1925 monitor the blue light on the power button blinks (once @ second) but I get no picture. The power button does not work (will not turn off).

Check for back lighting. The screen will glow.
Sound like the power board is out.

Did you check the service manual troubleshooting guide yet. You can try disconnecting the power to the inverter board and see if it will stay on and have sound.
Service manuals:
http://elektrotanya.com/?q=showresult&what=Sharp%20LC37SB24U&kategoria=&kat2=all

Basic LCD monitor and TV troubleshooting guide:
http://www.fixya.com/support/r6150077-basic_lcd_monitors_troubleshooting
http://www.fixya.com/support/r5093881-lcd_flat_panel_tv_troubleshooting_guide
http://www.fixya.com/support/r7406380-tv_training_manuals
Failed TV and Monitors pictures: http://s807.photobucket.com/albums/yy352/budm/

Learn about bad caps: http://en.wikipedia.org/wiki/Capacitor_plague

Capacitors kit: http://lcdalternatives.auctivacommerce.com/ he can make you a set of caps for you.
Or www.digikey.com just make sure to use caps with low ESR, 105c, high ripple current, long life rating such as PANASONIC FM or FC series.

Power off the computer leave the monitor on then go to the computer power button once computer is off and unplug the cord press and hold the power cord down for 5 seconds you should see a blink of light then plug the computer back in and reboot the machine. If this does not work get another monitor to check the video card borrow one to see if it works with a mock monitor if that does not work then it is your video card that is the issue and not the monitor. Change out the video card. if the mock monitor works fine then your original monitor is broken and will need to be replaced.

Yea I fixed it ..bought a new monitor......I tried the old monitor on two other PC's same problem.....

Hold the reset button using a pen for 30 seconds then turn it off for 10 seconds.

This sounds as if you are using the hibernate feature in windows reboot it and reset the power options to hibernate never check the vid connection as well

you probobaly. need a new bulb, my dad had the same problem. he orderd a new bulb off the internet and now it works just fine

The following procedure will re-establish the communication link between the Headphones and the Wireless adapter, this is called "pairing". Before you start please make sure both the headphones and the wireless adapter are fully charged and turned off.
Note: The headphones and the wireless adapter come pre-paired from the factory.
1. Press and hold the power button on the headphones. See Figure 1.

Figure 1

2. Continue to hold the button down until the LED starts flashing red/blue in an alternating pattern. Release the button when the LED starts flashing red/blue. See Figure 2.

Figure 2
3. Once the headphones LED is flashing red/blue, press and hold the power button on the wireless adapter. See Figure 3.

Figure 3
4. Hold down the button until the LED starts flashing red/blue in an alternating patter. The LED will blink blue, then turn off for a few seconds then blink red/blue. Release the button when the LED starts flashing red/blue. See Figure 4.

Figure 4
5. Once both the headphones LED and the adapter LED is blinking red/blue, press the volume up button once on the headphones. See Figure 5.

Figure 5
Once the headphones is paired with the adapter, the LED on the headphones will blink blue once every two seconds. See Figure 6.

Figure 6
When the adapter is paired the LED will be solid blue. See Figure 7.

Figure 7
The adapter may continue to blink red/blue for a few seconds even after the headphones LED starting blinking blue. This is normal; the adapter may take a few additional seconds before the LED turn solid blue.
Once the headphones and the adapter are paired, it is not necessary to pair them again even if the batteries on both units are completely drained.
Additional Note: Repeated pairing will not improve the sound quality or give the headphones and the adapter a cleaner connection.