Hey,
For me the case is clear: The battery cannot hold the charge so the notebook will be shut down because it has no power anymore.
I think you must replace the battery with a new one and you can get it from an authorized service provider in your country. Just contact the guys and ask for that, they can tell you how much it would cost.
You can find a list of all ASPs here:
http://eu.computers.toshiba-europe.com > Support & Downloads > Find an authorized service provider
Good luck!
