Date object to string is more simple and reliable way to detect if both fields are valid date. e.g. If you enter this "-------" to the date input field. Some of the above answers won't work.
jQuery.validator.addMethod("greaterThan",
function(value, element, params) {
var startDate = new Date($(params).val());
var endDate = new Date(value);
if(startDate.toString() === 'Invalid Date' || endDate.toString() === 'Invalid Date') {
return false;
} else {
return endDate > startDate;
}
},'Must be greater than {0}.');