Solutions of the operator equations, which contain operators of the generalized derivation, are described in a class of linear continuous operators which act in spaces of the formal power serieses allocated by the normal Köthe topology.

[1] Fage M.K., Nagnibida N.I. The problem of equivalence of ordinary linear differential operators. - Novosibirsk; "Science", 1987. - 280 p.

[2] Korobeynik Yu.F. On one class of linear operators // One-year term at a technical university. Mathematics. - 1973. - Vol. IX. Book 3. - P. 23-30.

[3] Tsarkov Yu.M. Isomorphisms of some analytic spaces that commute with a power of the differentiation operator. // Theory of functions, functional analysis and their applications. - 1970. - Issue 2. - P. 86-92.

[4] Podporin V.P. On solutions of the operator equation $р_1(D) A = Ap_2(D)$ in some classes of linear operators. / / Reports of the USSR Academy of Sciences. - 1978. - V.240, N 1. - P.28-31.

[5] Podporin V.P. On the representation of linear operators in the form of differential operators of infinite order. // Siberian Math. J. - 1976. - Vol. 17, N 1. - P. 148-159.

[6] Linchuk N.E. On a class of operator equations containing generalized differentiation operators. // Nauk. Visnyk Chernivtsi Univ.- 2004.-Issue 228.- P.42-44.

[7] Köthe G. Topologische lineare Räume. Bd.1.- Berlin, 1960.- 307 p.

[8] Delsartes J., Lions J. L. Transmutations d'operateurs differentieles dans le domaine complexe //Comment. Math. Helv. - 1957. - 32, № 2. - p.113- 128.

[9] Khaplanov M.G. On the space of analytic functions representable by one class of Dirichlet series // Siberian Math. J. - 1976. - 17, N 5. - P. 1141-1159.