the application does not open after updating

Try these two troubleshooting steps:

A forced restart of your iPad:--> Restart iPad - Apple Support

If the issue still persists, something could have gone wrong during your latest update process. Should be this case, installing a fresh copy of your iPadOS could be helpful.

To perform this procedure, create a full backup of your iPad, then restore it to factory settings and, in the end, set it up as new, following these instructions:--> Restore your iPhone, iPad, or iPod to factory settings - Apple Support

When done, test your iPad for a while, without restoring data. If everything is okay, you can exclude hardware failures.

Restore data from your previously made backup:--> Restore your iPhone, iPad, or iPod touch from a backup

If the issue comes back again, your data might be corrupt, and you need to start from scratch.

Regards

Giulio

Apps that misbehave after update can sometimes be fixed by fully deleting - and then reinstalling - the App.