Brown's side had edged Motherwell in Saturday's encounter but their failure to make the breakthrough meant a sixth stalemate at home this term.
"It's the story of the season here," Brown said. "I can count six scoreless draws, and in all but one I think we were the better team. We know the problem, and if you know the problem, the remedy is there for you.
"As we're past the transfer deadline it might take until next season to remedy the situation. Someone else to score goals would put us in a really good position. We're missing chance upon chance, and it's really disappointing.
"We can see the team are playing well enough and defending well. I think Motherwell are the second best team in the country, and we've played well against them - that's three draws against them here this season."
Brown's side face Celtic next week with their hopes of a top-six finish still in the balance but the Dons boss remains optimistic.
"It's still very much alive," he added. "You sometimes get points when you least expect them, as Ross County proved (beating Celtic) today. I'm not saying we're going to beat Celtic, but we won't go to Celtic Park thinking we'll come away with nothing.
"While there's a mathematical chance, we'll still be fighting. We're playing well enough - if we could just buy a goal - to be in the top six."