you can use regular exp to validate date .
try like this :
re = /^\d{1,2}\/\d{1,2}\/\d{4}$/;
if(form.mydate.value != '' && !form.mydate.value.match(re))
//do something here
note: this will only work for dd/mm/yyyy
for exact match of your requirement use
re = /^\d{2}\/\d{2}\/\d{4}$/;