The Favard – Amerio theory is constructed for almost periodic functional-differential equations in a Banach space without
the use of $\scr H$ -classes of these equations. For linear equations, we present the first example of an almost periodic operator,
which has no analogs in the classical Favard – Amerio theory.
Citation Example:Slyusarchuk V. Yu. Favard – Amerio theory for almost periodic functional-differential equations
without the use of $H$-classes of these equations // Ukr. Mat. Zh. - 2017. - 69, № 6. - pp. 788-802.