I am having almost the same issue with my Wife's iPad 2. She hasn't used it in over a year and the battery ran down. I charged it up last night and turned it on. Nothing appeared to happen. No apple logo, nothing. On a hunch I plugged it into my computer, and sure enough iTunes popped up and said the iPad is in DFU mode and needs to be restored.
I don't remember what version of iOS it had, but iTunes wanted to install iOS 7.whatever. I said ok, and it downloaded it, and started extracting it. After a while iTunes said waiting on the iPad. The computer made a few connect and disconnect sounds. The screen on the iPad stayed totally blank. Then the apple icon popped up with a grey progress bar. The bar never starts to fill with white. I left it for a few hours and came back. Still no progress.
I made sure iTunes was up to date and restarted with a different usb port and cable. No luck.
So I tried it on my Wife's computer. No luck there either. Same thing, DFU mode, extract iOS 7, apple icon with bar, but the progress bar never starts.
I am going to leave it overnight and tomorrow during work, but I don't have high hopes.
Anyone have any suggestions?
---sent from my iPad air, using tapatalk