Neb. Rev. Stat. § 17-114: Neb. Rev. Stat. § 17-114

The mayor in any city of the second class shall have such jurisdiction as may be vested in him or her by ordinance, over all places within five miles of the corporate limits of the city, for the enforcement of any health or quarantine ordinance and regulation thereof, and shall have jurisdiction in all matters vested in him or her by ordinance, excepting taxation, within the extraterritorial zoning jurisdiction of such city.