When it blacks out and returns to the home screen, that happens when the application suddenly quits. This could be because of many things. Is there a specific website that you are viewing that this happens?
Try this - Reset the iPad by holding down on the Sleep and Home buttons at the same time for about 10-15 seconds until the Apple Logo appears - ignore the red slider - let go of the buttons. (This is equivalent to rebooting your computer.)
If you have an iPad 1, the max iOS is 5.1.1. For newer iPads, the current iOS is 6.1.3. The Settings>General>Software Update only appears if you have iOS 5.0 or higher currently installed.
iOS 5: Updating your device to iOS 5 or Later
How to install iOS 6
iOS: How to update your iPhone, iPad, or iPod touch
If you are currently running an iOS lower than 5.0, connect the iPad to the computer, open iTunes. Then select the iPad under the Devices heading on the left, click on the Summary tab and then click on Check for Update.
Tip - If connected to your computer, you may need to disable your firewall and anitvirus software temporarily. Then download and install the iOS update. Be sure and backup your iPad before the iOS update. After you update an iPad (except iPad 1) to iOS 6.x, the next update can be installed via wifi (i.e., not connected to your computer).
Tip 2 - If you're updating via wifi, place your iPad close to your router to preclude getting a corrupted download.
Have rebooted several times, to no change.
Apps are facebook or any of the tv apps. Even crashes on gmail; nothing inparticular except Facebook ALWAYS crashes.
Sorry to take so long but couldn't get this discussion on ipad either.