My 89 LX does that from time to time, I believe it's the motor going bad. about once a month I would put it down and it won't come back up; this was before I got AC working and I had the window down a lot but since the AC is working I just make it a point to not put the passenger window down all the way :)
It appeared to me that the window motor would be a bear to replace so I'm putting it off, the strange thing is that when it wouldn't go up, after I left it sit for a few hours or overnight, it would go back up. Once a managed to get a large screw driver in the gear drive a jar it a little and the window closed, it's like there is a dead spot were the motor just can't push the window up.
To put the window up requires that you remove the motor gear/ motor which is had difficult as just replacing the motor.