Apple iOS doesn't support Flash, but I have heard of people getting AIR running. You might want to search the web for Adobe Air and iOS compatibility.
I want to develop the application for the ios devices like ipad2, iphone4 in arcgis for flex api. yesterday the flex 4.5 has been released, the official say the flex 4.5 support ios and android, so i don't know whether it's ok to develop ipad/iphone apps in arcgis for flex api. any suggestion will be appreciated.[/SIZE]