Here are some options, depending on the desired meaning:
For "ending" or "stopping":
* Final
* Terminal
* Conclusive
* Definitive
* Abrupt (if the ceasing is sudden)
* Gradual (if the ceasing is slow)
For "no longer existing":
* Extinct
* Defunct
* Obsolete
For "stopped by force":
* Suppressed
* Quelled
* Stifled
For "stopped voluntarily":
* Voluntary
* Deliberate
* Intentional
For "stopped by something else":
* Interrupted
* Halted
* Suspended
The best choice will depend on the specific situation.