This issue has been reported by other users as well.
If it were only the third party apps crashing, I would suggest downloading another app - any free app. That resets something in your iTunes account and allows the other apps to work properly again. So you can try that.
With Safai you can go to Settings>Safari>Clear History, Cookies and Data. Then restart the iPad.
You can also try resetting the iPad - hold down on the sleep and home buttons at the same time until the Apple logo appears - ignore the red slider.
Make sure that all of your apps are updated.
You may still continue to experience crashing in spite of trying all of these steps. If nothing else works, you may need to restore your iPad to factory settings and then "rebuild" your iPad from scratch. That process is a PIA but it may be the only thing that will work.