That sounds like you’ve got a problem with a corrupted file, perhaps during the install process. One thing to do is to do a clean install of the system, using iTunes. Be sure to do a full backup using the iTunes program first.
Back up and Restore your iOS Device with iCloud or iTunes
http://support.apple.com/kb/ht1766
When using iTunes to reset your iPad, you get it it the new state with a clean install.
Use iTunes to Restore your iOS Device to Factory Settings
http://support.apple.com/kb/ht1414
If you still have problems with the clean install, it’s possible that you ‘very got a hardware failure on some compononent. The Apple Store can check the hardware for you ...
Apple Support
http://www.apple.com/support/
Apple Retail Store - Genius Bar
http://www.apple.com/retail/geniusbar/
Noted for wife’s iPad(s).