Update all the drivers for any and everything you have from Logitech (game pad, mouse, keyboard and/or camera)
LGBusEnum LGBusEnum.sys Tue Jul 14 18:34:45 2009
LGPBTDD LGPBTDD.sys Wed Jul 01 14:47:52 2009
http://www.logitech.com/en-us/support-downloads
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If that doesn't stop the bsods, then unfortunately, you have defective RAM. You can test it with Memtest86+ overnight so it will show any errors. When they do show, then simply replace the RAM in the machine for new.
Sorry I didn't have better news.