Do not wait a few days and see if the pet shows up first. After 96 hours in the shelter, the animal is the property of the Dedman Foundation and will be available for adoption. Many an owner has come to the shelter only to find their pet went to a new home.
Adoptions are final.
New adoptees of unclaimed strays will not be contacted to return a pet if the real owner shows up. As a general rule, once your pet has been missing overnight, please call the shelter as soon as possible. Come look at the animals. It is not possible in many cases to confirm a pet's identity over the phone because no two people describe an animal the same way. One picture is worth a thousand words.