A few questions:
Have you, or did you, install extra RAM into this "PowerBook"
This question may sound strange. Is the machine a Powerbook or an iBook? The specs on the iBook come close to what you have mentioned and there is a known video problem with them.
Assuming it is a Powerbook, you could have a few things going on here.
A stick of RAM is defective and is causing this problem, the HD is not behaving itself, the Logic board is defective.
Have you tried Zapping the PRAM? Holding down the Apple key + Option + P + R before you hear the first chime. Hold down until the fourth chime and then let it start as normal.
Remove any extra RAM that you have installed and try restarting.
P
My mac is G4 power book 1.5 GHz, 512 mb ram. bought in Sep.2004
Recently, it was dead twice, first time, I can't go to system when I stat it, it just stop in the grey apple, and a circle was spinning, my friend fixed it by reinstall the OS X.
then, after 2-3 days, there were a black transparent square appear in the screen, always ask me to restart computer, it happened 3-5 times, and then ,when I star it, it still ask me to restard it, my friend fixed it with format everything and install the OS Tiger.
But now, my screen always have some very small black dots, or dots line and solid line, around some icons, and it changes the place all the time. it really scare me, and I don't know what I can do with it. i really need your help!!!!! bow

Chowhound
Comic Vine
GameFAQs
GameSpot
Giant Bomb
TechRepublic