On a Functional Equation in Distributions

In this paper we shall develop a method to finding the solution of the functional equation f (x+ y + xy ) = f ( x + y ) + f (xy )(1) and we discuss method of reformulating certain functional equations in distributions by means of threenew operators * , * and * on ()I . When the solutions are locally integrable functions, the equation reduce to the classical function equation.

کلیدواژه ها:

Functional Equation ، Distribution