I have a 5s and I'm having issues too. I'm able to download the update, but when attempting to install, I get an error message stating, "Unable to Install Update" "An error occurred installing iOS 10.3." I've tried updating about 8 or so times now. The same behavior occurs every time.
I found a few articles that recommended:
- Switch to airplane mode, turn off your phone, wait 10 seconds, turn phone back on, turn off airplane mode, try again.
- Reset your phone by holding the Home and power buttons at the same time
- Reset your network settings
- Delete the update via "Manage Storage" and try again
- Try updating via iTunes
I've tried each of these, and the behavior hasn't changed. The iTunes method wouldn't work at all. I plug my phone into my MacBook and it gives me an "Update" button for my phone, but clicking the button does nothing. It doesn't even show the button being pressed or anything.
At this point I'll probably give it a day, I was just excited for the storage updates, as my phone has had storage issues since the update before last. Good luck to everyone else having this issue!