The runtime is going to be the same for filemaker operating-system-requirements.
Filemaker usually makes updated (Current FM products) for new operating system. There was an update for FM12 to Mountain Lion. Filemaker didn't update all version of filemaker.
You will need to be sure you have all updates installed and you may have to recompile the runtime so it use the new fm update.
windows runtimes should run on all flavors of windows. Mac runtimes should run on all flavors of Macs if you are using the latest release of FileMaker Advanced to create it. If you encounter an exception to that, please use Report an Issue to report it as a possible bug.
Existing runtimes, like any application could fail to work when the OS system where it is installed is updated/upgraded.