Windshield wipers stopping

Hey everyone I've got a 02 Maxima that the wipers are acting funny. If I turn them on and shut them off they keep on till I shut the car off. Then they are shutting off once in a while when I need them... I was wondering if the motor or pulse board is bad or does this sound like wiring?

... If I turn them on and shut them off they keep on till I shut the car off....

If they wont come on - as you start the car again, points to a component problem on a control board. (A driver transistor's typical problem is to hang on, reset after pwr cutoff.)

Next suspect would be power delivering relay. Connector contact oxidation (maybe), wiring / motor (no).

Relays are color coded, easily to be swapped in troubleshooting.