That's a good question.
To be a little more explicit and limited in scope,
A revolver chambered for 38 Special and not marked for +p can safely use 38 Specials
A revolver chambered for 38 Special and marked for +p can safely use 38 specials and 38 special +p
A revolver chambered for 38 Special and marked for +p can safely use 38 specials and 38 special +p and .357 magnum.
It is primarily a matter of the ability of the chamber to contain the pressure. .357 Mag can go up to 40,000 psi. 38 Special tops out aroun 16,000 psi. 38+p is somewhere in the middle (the loading manual I keep next to the computer does not specify +p load data)
For safety's sake (and to allow a little more room for powder and expansion) the .357 cartridge is a little longer than 38 specials. Thus, a gun chambered for 38 specials SHOULD NOT (in theory) even be able to chamber and close on a .357 magnum cartridge. It's not supposed to fit.
There is a pretty good article here:
http://en.wikipedia.org/wiki/.357_Magnum
or if the link does not work very well, paste this into your browser
en.wikipedia.org/wiki/.357_Magnum
or just go to Google.com and search on ".357 Magnum" and "38 Special"
Aside from what SAAMI (Sporting Arms and Ammunition Manufacturers' Institute) specifies for standards, there is the consideration of the strength of the gun. There are 357 Magnum revolvers out there in which it is OK to shoot full-power 38+p and .357 Magnum loads, but after a time, the guns will show the strain of such exercise. (Charter Arms, snub-nose, Smith & Wesson lightweight .357s or Taurus lightweights) No detriment to the guns, they have just traded a bit of durability to gain small size, concealability and light weight. It's a reasonable trade if you need the small package. Then, more robust guns, like the S&W N-frame (Models 27 and 28) and the Ruger .357 Redhawk, Blackhawk and GP-100 can take full-power 357s for a lot longer.
All that long paragraph means is that a small, lightweight .357 (or 38+p) gun should not be fed lots and lots of .357s all the time, even though it can take the pressure. It will get looser sooner than a heavier gun will.
All the same principles apply to a long gun, too, but feeding issues become an additional consideration as Jim and Daryl mentioned.
Good luck shopping for your revolver.
Lost Sheep