I'd advise you to read the
wound closure article. This article says when you need to use them and when a wound is too big also. The two major types are
Steri-strips which is a brand name for a type of wound closure strips and there are some home brands (You can buy these in different thickness, the thicker of the two, I believe, is the same thickness as is used in hospitals) and the other type being butterfly strips/ butterfly bandages which are seen less often but they can be fabric.
Regardless of that and what is in the article about size, if they do not remain in place for the amount of time they are supposed to (unless they have become wet at which point they will fall off) then it is a sign that they are not doing the correct job for you and you need to go and get seen. It may also be that the hospital are putting skin glue on as well as the strips and this will help seal it more however this is only available at hospital and for good reason and don't use any other types of glue on a cut as they will cause damage.