bdeti

1. formal (nad + instr.) to watch over; to look after
   Majka je celu noć bdela nad bolesnim detetom. — The mother watched over her sick child all night.
   Sud bdi nad poštovanjem zakona. — The court watches over compliance with the law.
2. formal to stay awake; to keep vigil
   Bdeli smo do zore čekajući vesti. — We stayed awake until dawn waiting for news.

Usually used with nad + instrumental: bdeti nad nekim.