The Stability Of Drygas Functional Equation In The Space Of Distribution

In this paper we consider the stability theorems of the Drygas equation in the spaces S' of Schwartz tempered distributions. Making use of pullback we reformulate inequalities of functions in the space S'(Rn) of Schwartz tempered distributions. Using mollifier to convert inequality to smooth function inequality in space of Rn+1,we solve the stability of smooth function,then by the relation between regularizing function and generalize distribution,we have the stability of Drygas function.