I just started having this issue with my iPhone 4 last night. The iPhone is about a year old. I did not realize that my iPhone was doing this until I woke up this morning. When I plug the iPhone into the charger, it responds as if it is plugged in, and then goes back and forth between "charging" and "fully charged" for a few seconds until a "Charging with this accessory" appears on the screen. Then, it does not charge it at all, acting as if nothing is plugged into it. I am using my original charger and I have tried 3 other chargers. When the phone dies, it will recognize the charger and charge it enough for it to turn back on and go to 4% but then it dies after a few minutes again and I have to go through the waiting period for it to turn back on and charge up to 4% again. Same thing happens whether it is in the car, plugged into the wall, or the computer. Anyone else ever experience this? Please help!