Alienation of Drygas’ and Cauchy’s Functional Equations

Abstract Inspired by the papers [2, 10] we will study, on 2-divisible groups that need not be abelian, alienation problem between Drygas’ and exponential Cauchy functional equations, which is expressed equation f ( x + y ) g - = 2 . f\left( {x + y} \right) g\left( \right)g\left( - = x \right)f\left( y 2g\left( { \right). We also consider an analogous for additive equations as well logarithmic equations. Interesting consequences of these results are presented.