Depends on what ammo and what you mean by "stronger".
.44 Magnum
No, you cannot. The .38 Special can be fired out of .357 Magnum revolver (but not automatics or lever action rifles), however.
No! A firearm chambered for the .38 cannot safely shoot .357 magnum ammunition. The .357 has a longer case and overall cartridge length, and a much stronger powder charge. The .357 magnum will not fit into a .38 revolver, and if it did the chamber pressure would exceed the design of the .38 and could cause catastrophic failure of the firearm, in an injurious or deadly way. However, you can shoot a .38 special round safely through a .357 magnum as they both share the same caliber bullet. The same holds true with shooting a .44 special through a .44 magnum.
In a .44 Magnum revolver, yes. In a semi-automatic .44 Magnum (such as the Desert Eagle), no.
NO
No, it does not.
44 magnum and 44 special.
There's a .44 Magnum variant of the Desert Eagle.
Images of a 44 Magnum Revolver can be found online. Image hosting sites like Photobucket and Shutterstock carry photographs of 44 Magnum Revolvers from different firearm manufacturers.
Yes. The 44 magnum can fire 44 special ammo in the same way a .357 magnum can use .38 Special.
The Desert Eagle comes in the following calibres: .50 Action Express .44 Magnum .357 Magnum .440 Cor-bon .41 Magnum .357/44 Bains and Davis (Israeli Prototype only)
Yes