@AMA
First check that the problem isn't a backlight problem with the display.
Turn on the console and then try shining a torch at an angle close to the screen and check for any images on the screen.
They will be very faint if they are there, so trying this in a darkened room may help to see them.
If you can see images onthe screen then there's a backlight problem. Most likely a blown backlight power fuse.
Not sure with your model, but with other PSP models the fuse is located on the underside of the motherboard, so you may have to remove the board and check.
Hopefully the fuse will be marked with an "F" component id on the board next to it but sometimes not.
Here's a [https://www.youtube.com/watch?v=5lEsaWkh4EQ|video] that shows where it is located on a PSP E1004 but this doesn't mean that it is the same on your model.