Thank you so much for responding!
I am having several problems. The monitor turns off frequently, sometimes during startup, sometimes in the middle of me playing a game or browsing the Net or looking at different sites. There does not seem to be a connection. Quite often the computer will freeze, sometimes completely, and sometimes the cursor will move, but all it does is show a tiny, 'mixed up' version of the desktop on the left hand side. Also, the fans occasionally run very fast and loud.
I changed the battery after noticing that my date and time were not holding all the time. This worked for about two weeks, and now it has all started to happen again. I am writing this in Safe Boot mode, and I don't seem to be having an trouble, however, I am unable to do much.
I have a Dual 2Ghz PowerPC G5 which I love! I have two harddrives, one running OS 10.5.8 and the other running OS 10.4.11. Incidentally, the problems seem to occur with both OS's. I have cleaned the inside of the computer thoroughly and have pretty good airflow, but the weather does not seem to be a factor.
I do hope this helps.
Lin.