Yes, your PS3 should work connected to a Acer G205H. It is a bit hard to understand your post, would you mind much cleared it up for me?
The monitor supports 480p, 720p, and 1080p and is HDCP Supported, I do believe. I have a friend using this monitor with his PS3 as well. Besides as you mentioned the "no sound thing", it should run fine. If you have problems getting the screen to find the PS3 or the PS3 to find the screen, then hold the button on the PS3 to reset it. It should automatically pick up and configure the PS3 to the monitor. If not, hook the PS3 back to a TV and set it up from there, and then hook up to the monitor.