Dishwasher cycle once then quits

You may have faulty pump or control board, If it was control board, then washer probably wouldn't work at all, so it is a last solution, The pump however may be faulty if you are not getting water, water is slow or your machine is not draining, or your machine won't run.
A faulty door switch can also cause you some problems:
Servicing the Lid Switch

The lid switch on a washer often serves as a safety switch. If the switch is not working, or if the switch opening in the lid is clogged with detergent, the machine will not run. To check and repair the lid switch:

Step 1: Unplug the machine. Clean out the lid switch port with a wood manicure stick or chopstick. Clean off any detergent buildup around the rim of the lid. Sometimes there's enough detergent encrusted on the metal to prevent the lid from closing tightly and keep the washer from operating.

Step 2: If cleaning doesn't help, remove the top of the cabinet to get at the switch. With the switch exposed, check the screws for looseness. Loose screws can cause the switch to move when the lid is closed or as the machine goes through its cycles. Check the terminals of the switch to make sure they're tight. Tighten the mounting screws after the switch is in alignment.Step 3: Test the switch with a VOM set to the RX1 scale; procedures for using the VOM are detailed here. Disconnect the power leads to the switch terminals and clip one probe of the VOM to each terminal. Close the lid of the washer. If the meter reads zero, the switch is working. If not, the switch is faulty and should be replaced.Step 4: If necessary, replace the lid switch with a new one of the same type. Connect the new switch in exactly the same way the old one was connected.
Step 5: If the switch still doesn't work, it is probably misaligned. Realign the switch by repositioning the screws holding it in place, testing the switch as you go until it works properly.
Servicing the Water Pump
To remove the pump, loosen the bolt that holds the drive belt taut and move the washer motor on the bracket to loosen the belt. Move the motor out of the way and unbolt the pump; it's usually held by two or three hex-head bolts located on the bottom of the pump housing. As you loosen the last mounting bolt, support the pump with your hand. Then lift the pump out of the washer.

Step 5: You should take the pump apart if you can, because the trouble could be food in the pump impeller. Clean away all debris inside the pump and clear any debris out of the water tubes. Then reassemble the pump. Hook up the pump again and test it. If cleaning the pump doesn't put it back into working order, or if the pump housing can't be removed, replace the pump with a new one of the same kind.

Step 6: To install the new pump, set it into position and connect the mounting bolts to the pump housing. Move the motor back into position. Tighten the drive belt on the motor by prying it taut with a hammer handle or pry bar; it should give about 1/2 inch when you press on it at the center point between the two pulleys.

Step 7: Reconnect the hoses leading to the pump.