Green's broke the tie on a power-play goal that put the Islanders ahead for good.
King put the Islanders on top only 19 seconds into the game, but Detroit came to life quickly and scored the next three goals.
Palffy's second goal of the game put the Islanders ahead at 6:46.
Their sluggish play put the Islanders in a 3-0 hole after one period.
He thinks he will be able to put the Islanders in a position where they think they can win.
Czerkawski then scored at 16:26 to put the Islanders ahead, 2-0.
Carkner's goal, his first in 66 games, put the Islanders in a bad spot.
The goal broke a 1-1 tie and put the Islanders ahead for good.
Brewer also took a bad penalty earlier in the game, putting the Islanders down two men.
His first power play goal of the season, it put the Islanders ahead, 3-1.
