Aberdeen slipped down to eighth in the SPL after a weekend in which they drew 1-1 at Kilmarnock, during a game when Niall McGinn was wrongly booked for diving by Euan Norris after being brought down by goalkeeper Cammy Bell inside the box.
McGinn also hit the post at Rugby Park as Aberdeen saw tomorrow's opponents, Ross County, jump above them in the SPL.
County also have a game in hand and defeat for the Dons tomorrow could leave them further adrift as most of the league looks to earn a top-half slot.
But Brown expects his men to come out fighting after what he felt was the latest in a line of dubious decisions to go against them.
The former Scotland manager said: "I cannot think of a time this season where we have had a marginal decision given to us and that's disappointing.
"When you feel a bit persecuted, it gives you a desire and it also usually affects the crowd because they feel the injustice.
"The players feel the injustice and put more in to try to rectify the situation.
"There are groups of players who cry in their beer and give up because of what happened but we have a group who are determined to fight through adversity.
"We revel in adversity and you will see that in the forthcoming games that Aberdeen won't give in to any adversity that we have unfortunately had.
"There's a fighting squad in the dressing room, there's a fighting mentality on the bench and I'm definitely committed to winning games and not accepting anything short of success."
Despite slipping out of the top six, Brown has been happy with recent performances that have also seen them beat Dundee 1-0 and draw 0-0 with St Mirren.
"I would say two and a half of the last three have been encouraging," he said.
"I thought we played well enough against St Mirren and didn't get the goal we needed. We played well first half against Dundee.
"We played consistently well and had five really good chances at Kilmarnock, and obviously hit the post and had the controversial penalty decision.
"The lads can't be faulted for recent performances. We need to maintain that.
"We have five games before the split, three at home, and we just ask the home support to be as supportive as the away support, and I'm sure we will get the points that take us up into the top half."