Bose Sound Docks are no longer compatible with Apple iPhones or iPods?

When plugging my iPhone 4S or 5, or my iPod 3rd Gen or 7th Gen into my Bose Sound Dock, I recieve a message that reads, "This iPhone/iPod is not compatible with this accessory" and will not play stored music.

Background Info:

- The Bose Sound Dock was designed to support Apple products.

- All software/OS on the Apple products is current as of Dec 2013.

- The Bose product doesn't have update-able software associated with it.

- Clearly, something has changed with the Apple products.

What can be done to fix this so that iPhones and iPods will play again on Bose products?

I've unplugged/replugged the Bose Sound Dock, and I've powered down and powered up the Apple products expecting that something would reset, but these steps have proved to be ineffective and nothing has changed.