That happened to my daughter's iPod touch 4' ~an I did some online research on you tube and Google, and even Apple website, I searched --iPod touch white screen, iPod 4touch won't go past Apple logo...etc. and found a fix for it. It took me 3 mins to fix!! Just needed to do a few diff things and pretty much reset it back to factory settings. Than it happened to my friend. Same thing, N what was wrong with hers was that her charger wire was weak.. So when she got a new wire, and used a different wall plug, it reset itself n worked fine! So who ever gets this, I know that it's a easy fix with a little googling. :)
i know how to fix it. mine did the same thing, i looked up the issue no solid fix for it. i had to Create my program that Erases the Firmware and the Hardware Memory, and i write it myself. i know how apple Codes their Devices
That picture will just stay there, then after a minute, it will go white for a few seconds then turn off. It doesn't matter what it's plugged into, it will do the same thing