set supp ( β, ∂ ) consider a covering of every point by such neighborhoods, the possibility of division in each neighborhood leads to possibility of division globally on the whole supp ( β, ∂ ) . Then a$_{1}$ as defined in (6) exists in S $^{∗}$. In the case where γ is an arbitrary generalized function, if β is infinitely differentiable then then by (Schwartz, 1967, pp.126-127) division by β is defined on supp ( β, ∂ ) and the solution is given by (6) . For the cases where γ is not continuous and β is not infinitely differen- tiable the solution is provided by with any ˜ α such that α$_{1}$α$_{2}$ ∈ F t ( A ) . Theorem 2 in Zinde-Walsh (2012) implies that the solution to (5) is a = F t − $^{1}$( α$_{1}$α$_{2}$ ); the sufficient condition for the solution to be unique is supp ( β, 0) ⊃ ¯ W ; if additionally either γ is a continuous function or β is an infinitely continuously differentiable function it is sufficient for uniqueness that supp ( β, ∂ ) ⊃ ¯ W . This provides solutions for models 1 and 6 where only equations of this type appear. 40 α$_{1}$ = β − $^{1}$γI ( supp ( β, 0)) ; α$_{2}$ ( x ) =     1 for x ∈ supp ( β, 0); ˜ α for x ∈ ¯ W \ ( supp ( β, 0))