I don't want to sound like I'm chastising you but any fish somebody owns should be cared for properly. If that's not possible, find a new home for it.
Anyway, it just sounds like aggression to me. Some Oscars are aggressive, others aren't. Luckily, I've never had a serious aggression problem with my Oscars and I have got various cichlids living in harmony. If you have gotten an aggressive Oscar that is going to attack other fish, you need to keep it on its own. Jack Dempsey's can be very aggressive in their own right so are normally okay with the Oscars. So that's all I can suggest really, if you don't want your Oscar to attack other fish, don't keep any other fish with it.