That's when you buy a BB gun and pop their azzes! If you are in an area where there are leash laws? Then get the rulings on it and send it to your neighbor. If they don't comply with it? You have the right to shoot the dogs and dispose of them.Neighbors' dogs are the WORST. I don't understand why MY FAMILY should have to buy an electric fence to keep THEIR dogs out of in our coop in MY YARD. Since our neighbors found out that someone in my family was scared of dogs, they let them run into our yard even more. We can't let our chickens out of their run unless we stay within 10 ft of them at all times and only in certain areas of the yard to keep them away from the dogs.
I've had the dog problem in the past. And you bet I did all the above. EXCEPT kill a dog! The owners penned them up when they found out we could and would do just that. It costs us a LOT of money to start from chick to egg laying age. And then of course there are our emotions involved with them too. Don't hesitate to do your research! By all means call the police if it turns ugly.
We also bought a Great Pry to watch over our flock! HE didn't allow any drifters or predators to enter his domain! They are great with chickens and ducks too!
TC