One thing to try would be another monitor to see if you continue having the same result. If the same issues occur with another monitor then the issue is likely related to your on board video or slot card, whichever you use.
My Samsung SyncMaster 2493hm LCD keeps going black. It happens randomly on all 3 inputs. I'm sure it's not the back light. When i turn it off and back on, it will often come back to normal for a few minutes until it goes black again. At one point, I dissembled it to see if I could find a bad cap, loose connection, any burn marks on the boards or an abundance of dust, but everything looks fine.
Does anyone know what component might be causing this issue?

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