Hi,
I have the same problem. There is no display but if you connect to PC, iTune detects it and reports that the iPad is in recover mode. Reinstall / upgrade iOS will not help.
But If the battery charged to 100% (you can ipad connected to the charger in DFU mode for more than 10 hours) and when the charger supplies the current, the iPad2 wont go to DFU mode. If the iPad is not connected to the charger, then if you leave the screen off for 10 minutes or more it goes to DFU mode and wont come up at all. The no. of reset trials (Power+Home button) to rbing up the display and boot are less if the battery power is higher than 90%. I am thinking this is a battery problem. Has anyone seen this issue?
-Sinu