Delayed wiper and wiper windshield wash do not work, however normal and high speed wipers work properly

If the windshield wipers on your 2002 Corvette won't shut off, it could indicate a problem with the wiper control switch or a malfunction in the wiper motor circuit. Here are some troubleshooting steps you can try:

1. Check the wiper control switch: Ensure that the wiper control switch is in the "Off" position. Sometimes, the switch can get stuck or malfunction, causing the wipers to stay on. Try moving the switch back and forth a few times to see if that resolves the issue.
2. Inspect the wiper motor relay: The wiper motor relay controls the power supply to the wiper motor. If the relay gets stuck or fails, it can cause the wipers to stay on. Locate the wiper motor relay in the fuse box or relay panel and try replacing it with a known working relay of the same type to see if that resolves the issue.
3. Check the wiper motor circuit: The wiper motor circuit may have a short or an electrical problem that is keeping the wipers engaged. Inspect the wiring harness connected to the wiper motor for any signs of damage or loose connections. Use a multimeter to check for continuity and proper voltage in the circuit. If you are not familiar with automotive electrical systems, it is advisable to consult a professional technician or a qualified electrician.
4. Disconnect the battery: As a temporary solution, you can disconnect the negative terminal of the car battery to stop the wipers from running. This will disable other electrical components as well, so it's recommended as a temporary measure until the issue can be properly diagnosed and repaired.

Question edited for clarity. Part of duplicate question added.
Duplicate question deleted.
Question moved to model category.

This says Pulse Board or the Switch

https://www.google.com/search?q=2004+Pontiac+Montana+front+wipers+won%27t+turn+off

This says it does have a relay... but

https://www.google.com/search?q=2004+Pontiac+Montana+wiper+relay

Nothing shows where it is located.

https://www.google.com/search?q=2004+Pontiac+Montana+wiper+relay+location

Relay here

https://www.autozone.com/electrical-and-lighting/wiper-motor-relay

It may not be releasing, you can test if you can find it!

https://www.autozone.com/electrical-and-lighting/wiper-motor-relay

..

My database only shows one wiper motor. Did you check voltage and ground, anywhere? Check the wiper fuse for voltage, hot all the time, use test light. At the wiper motor, dark green wire is voltage for lo speed. The purple wire is voltage for hi speed, Turn on key, turn on wiper switch, probe those two wires for voltage, use a test light. That bottom black wire off wiper motor, in diagram, is ground, check that also. If good voltage and ground with no wiper action, I suspect the wiper motor. There are codes for wiper, manufacturer codes, check for codes. good luck

Your best bet , have a qualified repair shop check it out . Check for DTC'S - diagnostic trouble codes in the BCM - body control module . Wiper/Washer System Components
The Wiper/Washer System consists of the following components:
• Windshield wiper/washer switch
• Body control module (BCM)
• WPR1 relay
• WPR2 relay
• Windshield wiper motor
• Windshield washer pump

Wiper/Washer System Description The body control module (BCM) controls wiper motor low speed operation, washer pump and high speed operation. The windshield wiper/washer switch supplies a low or ground on the signal circuits to the BCM for windshield wiper/washer operation. When WASH, MIST, DELAY, LOW, or HIGH is detected, the BCM energizes the WPR1 relay by suppling low signal to the relay coil. This allows battery voltage from the FRT WPR fuse to flow through the relay switched input then through the contacts and out the relay switched output to the WPR2 relay switched contacts. Since the WPR2 relay switched contacts are normally closed to the low speed circuit of the windshield wiper motor, the motor will operate at low speed. For HI speed operation, the BCM supplies the same low signal to the WPR1 relay control circuit and also supplies a low signal to the WPR2 relay control circuit. The WPR2 relays normally opened contacts are now in series with the current supplying WPR1 relay contacts. The WPR2 relay normally open contact at this point supply current to the wiper motors HI input.

could have a relay stuck closed or a BCM problem ,check for code's .

try taking off the neg battery terminal for 30 minutes then replace it try wipers.

You didn't take into account the wiper switch is a input to the BCM - body control module ,or do you know that ? The BCM controls wiper one an wiper two relay's to turn on the wipers .
Wondering if it is the PCB or perhaps a physical problem? Guessing never finds the problem . Reading how they work in factory service repair info should be the first step for someone that doesn't know .
Intermittent Operation
Windshield wiper DELAY operation is a low speed wiper motor function with a variable delay interval between the wiper motor cycles. The DELAY interval is determined by a series of 5 resistors within the wiper/washer switch. During DELAY wiper operation, the signal circuit voltage is further reduced through the DELAY resistors. The body control module (BCM) monitors the voltage on the signal circuit to determine the delay interval between the low speed wiper motor cycles.
If the wiper switch is moved from a longer delay interval to a shorter delay interval, the BCM will command an immediate wipe cycle and reset the delay timer to the shorter delay interval.
Additionally, intermittent wiper operation is vehicle speed sensitive. As vehicle speed is increased or decreased, the wiper interval will also increase or decrease.

Low Speed Operation
When the wiper switch is in the Low position, voltage is supplied through an internal resistor to the signal circuit. The body control module (BCM) monitors the windshield wiper switch signal 1 circuit and energizes the wiper 1 relay which will operate the windshield wiper motor. The wiper motor will operate at low speed, since the wiper 2 relay is de-energized. Low speed can also be commanded with a scan tool by commanding Wiper Relay Cmd. ON and OFF.
High Speed Operation
In the High position, the windshield wiper/washer switch supplies voltage to both the wiper 1 and wiper 2 relay coils. This energizes both relays and allows battery voltage from the wiper 1 relay switched output to the switched input of the wiper 2 relay through its contacts and out the switched output of the wiper 2 relay to the high speed circuit of the windshield wiper motor. The windshield wiper motor will operate at high speed. During HIGH speed wiper motor operation, the wiper switch signal circuit is at the LOW speed signal voltage, and the body control module (BCM) supplies redundant voltage to the wiper relay via the wiper diode.

Wiper/Washer System Components
The Wiper/Washer System consists of the following components:
• Windshield wiper/washer switch
• Body control module (BCM)
• Wiper 1 relay
• Wiper 2 relay
• Wiper diode
• Windshield wiper motor
• Windshield washer pump
• Windshield washer nozzles
• Windshield washer solvent container
• Windshield wiper arm and blade assemblies
• Windshield wiper transmission
• WIPER/SW 10A fuse
• WIPER 25A fuse
Refer to Master Electrical Component List.

DTC B3715 02: Front Wiper Relay Drive Circuit Short to Ground
DTC B3715 05: Front Wiper Relay Drive Circuit Short to Battery or Open

Your best bet , take it to a qualified repair shop.

The is the symptom of a defective wiper switch.

There are two relay's in the under hood fuse / relay box . Wiper relay an wiper relay 2 . Maybe one is bad . also check fuse #14 25 amp. Wiper fuse.Plus the BCM - body control module has a hand in making the wipers work . Are you familiar with automotive electronic control modules ?
The Wiper/Washer System consists of the following components:
• Windshield wiper/washer switch
• Body control module (BCM)
• Wiper micro relay
• Wiper 2 relay
• Wiper diode
• Windshield wiper motor
• Windshield washer pump
• Windshield washer nozzles
• Windshield washer solvent container
• Windshield wiper arm and blade assemblies
• Windshield wiper transmission
• WIP/WASH 10A fuse
• WIPER 25A fuse

Wiper/Washer System Description
The body control module (BCM) controls wiper motor low speed operation. The washer pump and high speed operation are controlled directly by the wiper/washer switch. The windshield wiper/washer switch supplies voltage on the signal circuits to the BCM for windshield wiper/washer operation. When WASH, MIST, DELAY, LOW, or HIGH is detected, the BCM energizes the wiper micro relay by suppling voltage to the relay coil. This allows battery voltage from the WIPER fuse to flow through the relay switched input then through the contacts and out the relay switched output to the wiper 2 relay switch contacts. Since the wiper 2 relay switch contacts are normally closed to the low speed circuit of the windshield wiper motor, the motor will operate at low speed.

Do you have any speed !

The Wiper/Washer System consists of the following components:
• Windshield wiper/washer switch
• Body control module (BCM)
• Wiper micro relay
• Wiper 2 relay
• Wiper diode
• Windshield wiper motor
• Windshield washer pump
• Windshield washer nozzles
• Windshield washer solvent container
• Windshield wiper arm and blade assemblies
• Windshield wiper transmission
• WIP/WASH 10A fuse
• WIPER 25A fuse

Wiper/Washer System Description
The body control module (BCM) controls wiper motor low speed operation. The washer pump and high speed operation are controlled directly by the wiper/washer switch. The windshield wiper/washer switch supplies voltage on the signal circuits to the BCM for windshield wiper/washer operation. When WASH, MIST, DELAY, LOW, or HIGH is detected, the BCM energizes the wiper micro relay by suppling voltage to the relay coil. This allows battery voltage from the WIPER fuse to flow through the relay switched input then through the contacts and out the relay switched output to the wiper 2 relay switch contacts. Since the wiper 2 relay switch contacts are normally closed to the low speed circuit of the windshield wiper motor, the motor will operate at low speed.

Low Speed Operation
When the wiper switch is in the Low position, voltage is supplied through an internal resistor to the signal circuit. The body control module (BCM) monitors the windshield wiper switch signal 1 circuit, and energizes the wiper micro relay which will operate the windshield wiper motor. The wiper motor will operate at low speed, since the wiper 2 relay is de-energized. Low speed can also be commanded with a scan tool, by commanding Wiper Relay Cmd. ON and OFF. Refer to Scan Tool Output Controls .
High Speed Operation
In the High position, the windshield wiper/washer switch supplies voltage to both the wiper micro relay and wiper 2 relay coils. This energizes both relays and allows battery voltage from the wiper micro relay switched output to the switched input of the wiper 2 relay through its contacts and out the switched output of the wiper 2 relay to the high speed circuit of the windshield wiper motor. The windshield wiper motor will operate at high speed. During high speed wiper motor operation the wiper switch signal circuit is at the low speed signal voltage, and the body control module (BCM) supplies redundant voltage to the wiper relay via the wiper diode.

This info is out of hummer factory service manual !

There is a wiper delay module under the dash that has failed. Windshield Wiper Switch MOTORCRAFT SW-5665