when im not touching it, the right anolog stick gose down, on internet and on games, the cursur gose down by its self.

mabye your analog stickis sticking

maybe the nub is stucked...

Try turning the analog stick round and round clockwise and anti-clockwise a few times, sometimes the nub will stuck.If the problem still exist you may need to send it back to the nearest Sony service centre.

this is just a thought buy do you leave your psp near anything hot or warm cus maybe it is making the analog stick "stick" maybe just using it for a while or blowing on it (sounds stupid but you never know) might help

yea mine does that from time to time too
it just randomly moves by itself
mine goes right on its own

if you have taken apart your psp or installed a new faceplate, tighten the screws on the psp, and make sure the analog on the inside of your faceplate is tight

yeah and also if you did take your faceplate off make sure the case screws are not too tight. i had mine to tight and it casued the home button act up.

the same thing happened to me but idid the same thing as u said and it worked again