But if you are adventureous, you could start here. (as soon as the Sony eSupport site comes back up)
http://esupport.sony.com/US/perl/model-faq.pl?mdl=GDM400PSThey are back up. Try the simple things first.
The monitor power light is blinking and there is no picture.
Solution
Follow this procedure to troubleshoot the issue.
NOTE: Because each of these steps represents a possible solution to this issue, check the monitor status after completing each step.
Disconnect the monitor power plug, wait a few minutes, and then reconnect.
Remove the monitor power plug from any surge protector or power strip and plug it directly into a known working electrical wall outlet.
NOTE: If the monitor works correctly when removed from a surge protector or power strip and plugged directly into a known working electrical wall outlet, the source of the issue is the surge protector or power strip.
Disconnect the monitor data cable from the computer, check for bent or broken pins.
Perform a monitor self-test .
NOTE: If the monitor self-test fails, the monitor may need service.
If possible, connect the monitor to another computer.
NOTES:
If the monitor works on another computer, there is a problem with the original computer video hardware or software display settings.
Some software, particularly games, allow for configuration of monitor settings such as screen size. Incorrect settings can cause the monitor lights to blink and the screen to be blank.
If the issue is still unresolved after completing all of the troubleshooting steps, service may be required.
(The power supply or the horizontal deflection circuitry has shorted)