Certain functional identities on division rings of characteristic two

Let D be a noncommutative division ring. In a recent paper, Lee and Lin proved that if char\, D≠ 2, the only solution of additive maps $f, g$ on D satisfying the identity f(x) = xⁿ g(x⁻¹) on D \0\ with n≠ 2 a positive integer is the trivial case, that is, $f=0$ and $g=0$. Applying Hua's identity and the theory of functional and generalized polynomial identities, we give a complete solution of the same identity for any nonnegative integer n if char\, D=2.