I opend a LTD Co. in Antalya. I need to know can I stay here more than 3 months? if yes, how?

 It depends on the duration of your visa and the country you are coming from.

You can get a residency permit for 1, 2 or 5 years.  If you are British it seems to cost a lot more than if you are from any other European country!  A 2 year residency permit taken last December cost me approximately 950 ytl - I think it has gone up this year.