2018
Том 70
№ 6

Favard – Amerio theory for almost periodic functional-differential equations without the use of $H$-classes of these equations

Slyusarchuk V. Yu.

Abstract

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.