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It was shown that from the mathematical physics equations, which describe material media, it follows the evolutionary relation that possesses the properties of field theory equations. The evolutionary relation is a non-identical relation in skew-symmetric differential forms for functionals such as the action functional, entropy, Poynting's vector, Einstein's tensor, wave function, and others. As it is known, the field theory equations are equations for such functional. This points out to a correspondence between the evolutionary relation and the field theory equations and discloses a connection between the field theory equations and the mathematical physics equations. These results are based on properties of skew-symmetric differential forms, which correspond to conservation laws.