Which version ipad and which iOS?
You can try this, but I think you may have a hardware problem:
Make Sure iOS is updated to the latest version
Reboot the device by pressing and holding down the home and sleep/wake buttons (power) at the same time until the apple logo appears on the screen, then let go.
If that doesn't work then reset the device by going to settings/general/reset/reset network settings
If those steps do not work you would want to create a backup of your content in iTunes or iCloud and then restore the device AS NEW. If that works, it would be a software issue and you would need to manually add your content back on the device. If that doesn't work, you want to get a replacement by going to an Apple Retail Store or calling 1-800-MYIPHONE.