Agree with the mplane72! First order of business is to decide what type of neighbor YOU want to be, then decide how to deal with your neighbors & their dog(s). Even if you don't know who owns them, visit with the neighbors, perhaps with some pictures if you got them. Ask them. They may well know who owns them. Even the worst dogs don't roam more than a couple miles if they have a home base. Tell the owners that there is a problem and discuss the options. I keep my dogs at home but if one of them did get lost and ended up on someone else's land where they got shot first, with no warning or effort to determine where it came from, I would, without a doubt, become your very WORST neighbor ever. Trust me, my dog on your land, would be the very least of your concerns for a very, very long time. PERIOD!
SSS might be OK for wolves but not a dog!