A Kenmore oven that doesn't turn on may have an electrical problem related to the electrical cord or internal wiring, while one that doesn't produce heat may have a problem with the igniter if it is a gas oven. Electrical ovens may also fail if the heating element is broken.
Hot-surface igniters are commonly used on Kenmore ovens, and even an igniter that glows may not reach a high enough temperature to trigger the gas valve. Other Kenmore ovens use spark ignition systems that create a hot spark where the natural gas flows. Other problems can result from the gas-delivery system; a broken gas valve, for example, may prevent the igniter from receiving sufficient gas to light.