I try not to get involved in too many "VET" related issues, but reproduction is all I have done for close to 30 years, having said that - here goes.
Simply calling a cow CYSTIC if she is not cycling is not entirely correct. Sometimes - depending on the type of Cyst, a cow may not cycle at all and just stop all signs of heat.
The most common type of cyst is Follicular -- caused by when the cow last cycled sh failed to ovulate and retained her follicle - with the egg init. Over time, this cyst will harden and get real thick walled, and start to secrete Cystosterone -- the female equivelant to Testosterone inmales. This causes the cow to be active all the time, and most will eventually start to get real agressive like a bull would. Even start to bellow and dig the ground.
The treatment for this is larger than normal doses of Gnrh given over several days to weeks.
The secondary cyst type is called a Leutial cyst. This occurs when the cows ovulates, but instead of opening up like a flower -- the follicle collapses onto itself -- and creats a sort of tent over the ovary. When the resulting CL grows to maturity -- it will give off very larges doses of Progesterone, which is the anti-heat hormone acting as if she were pregnant. This is easier to cure, but you do have to palpate her to make sure. A dose or two of Prostoglandins a couple weks apart usually does the trick.
If your three cows do not have these two conditios, then they are simply anestrous -- meaning they do not have sufficient hormone activiy to come into heat as they should. This could be caused by anything, nutrition is number one on the list -- too fat or wat too thin, then close behind if not ahead of that is your mineral program. Don't be fooled by what the "Nutritionist" simply reccomends -- they get paid to sell mineral and feed -- you do the math! Age will be a factor after they pass 10-12 -- so that may not be your cause. Also -- if you are in Fescue country -- you will need to REALLY increase your Magnesium levels to counteract the situation caused by the Endophytes in Fescue. Many folks on here know about that -- it is not good.
I wish you the best from here on -- it may be something very simple -- butif they are simply NOT cycling for you -- I would be extremely surprised if they are not due to being cystic. I hope this helps clarify the dillema of cystic cows.
Terry