The Favard–Amerio theory is constructed for almost periodic functional-differential equations in Banach spaces without using the 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.
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 69, No. 6, pp. 788–802, June, 2017.
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Slyusarchuk, V.Y. Favard–Amerio Theory for Almost Periodic Functional-Differential Equations Without Using the ℋ-Classes of These Equations. Ukr Math J 69, 916–932 (2017). https://doi.org/10.1007/s11253-017-1404-9
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DOI: https://doi.org/10.1007/s11253-017-1404-9