I got the same problem and could fix it myself!
Have a look there:
http://coreyarnold.org/ibook/
My problems started by some strange lines appearing on the screen, then got worse. I had more and more difficulties to start my ibook up. Up to an ending point when I definitively could no more start it up, having always the fan turning loudly, no “bong” and a black screen.
I have opened the case of the computer, and located the failing component on the logic board that is mentionned in the above Web site. By putting pressure on it, I could successfully start again the computer. I tried the mechanical solution that is given there, but it was too unstable in my case.
Since I have some skills in microelectronics (and some good tools), I decided to resolder the failing pin(s). In fact, I found only a single one that was unsoldered : the extreme bottom right one, on the pictures that are shown in the Web site.
Now, it works perfectly, even with mechanical vibrations, since some days.
I think that resoldering is the best solution. Those who cannot do it themselves should find some good electronician in their area. It can be fixed within half an hour (with (dis)mounting included), and should cost much less than the 500 euros for a new logic board…
Many people seem to have had this component unsoldered (not always the same pins).
The fact that this can be fixed by our own does not excuse Apple for the lack of quality of the manufacturing. Such a mistake is at the level of low quality products of South-Eastern Asia… How could Apple fall into such a trap?
What makes people decide to adopt a Macintosh instead of a PC+Windows is elegance, reliability and comfort of use. Unfortunatly, the two latter aspects will decay if Apple goes on with such a "quality control" policy.