Nedeljkovic's shutout was his third in 15 starts this season.
"That's the biggest thing right now, getting the wins," he said. "Obviously, you want to play well individually and guys want to do well for themselves, but at the end of the day, if we're winning games as a team and we're going far, we're all going to succeed."
Vincent Trocheck and Martin Necas each had a goal and an assist for the Hurricanes (27-9-3), who have won three in a row and are 5-0-1 against the Panthers this season.
"I don't know that we were very good, but we worked hard and our defense really got in the way and made it tough for them to get a lot going on," Carolina coach Rod Brind'Amour said. "I like the fact that we found a different way to win tonight."
Chris Driedger made 19 saves for the Panthers (26-11-4), who were swept in the two-game set following a 5-2 loss here Tuesday.
"The games have all been close, but I wouldn't call this one close, for sure," Florida coach Joel Quenneville said. "They're a good hockey team. They don't give you much room and you've got to be ready to play that type of game."