It's simple, really.
Buy some wooden dowels from your local _______Mart.
Sharpen both ends, then post them in your yard.
Call in sick from work, then wait 'til the neighbors leave for work. Grab the fucking little mongrel(s) and then impale them through the anus or mouth.
Place the stakes on your neighbor's front yard with a sign that reads: "This will be your children if you get another loud fucking dog."
If they don't have children, simply write instead "This could be you," etc.
Should clear the problem up.