(1) In proceedings under sections 42-347 to 42-381, the court shall have jurisdiction to inquire into such matters, make such investigations, and render such judgments and make such orders, both temporary and final, as are appropriate concerning the status of the marriage, the custody and support of minor children, the support of either party, the settlement of the property rights of the parties, and the award of costs and attorney's fees.
(2) When final orders relating to proceedings governed by sections 42-347 to 42-381 are on appeal and such appeal is pending, the court that issued such orders shall retain jurisdiction to provide for such orders regarding custody, visitation, or support or other appropriate orders in aid of the appeal process.