All mobile phones (android and normal old ones) qive you the option to recive an sms delivery report. With some you'll get a sms delivery report that you can open and read and keep it like an sms recived by a friend and to loose it you'll have to delete it. Other phones will only give you a notification window witch will appear and disapear in a second in a way that if you are not looking at your mobile you will miss it. HOW TO KNOW IF THE MOBILE PHONE ONE WANTS TO BUY HAS THE SMS DELIVERY REPORT ACTUAL MESSAGE?? THXS IN ADVANCE
AFAIK all phones have an option of activating/deactivating the SMS delivery report under sms settings. In android you get a notification saying message delivered, even if u happen to miss it, it also shows a tick to indicate the message is delivered.