After my car runs for a while. The it hesitates and loses power. The oil pan light comes on. Once i pull over and shut it off for a few moments it starts up and runs fine for a while. But, it'll do ir all over again. What causes that?

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After my car runs for a while, it'll hesitate and lose power. The oil pan light comes on. Once i pull over and shut it off for a few moments it starts up and runs fine for a while. But, it does all over again. What causes that?