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Invertibility of almost periodic $c$-continuous functional operators

V. E. Slyusarchuk


Abstract: Statements are proved about the invertibility of operators $\frac{d^m}{dt^m}+A$ ($m$ a positive integer) and $B$ acting in the space of bounded vector-valued functions on $(-\infty,\infty)$ and in the space of bounded vector-valued functions on a countable Abelian group, respectively.
Bibliography: 25 titles.

UDC: 517.948.35

MSC: Primary 47E05; Secondary 34A10, 43A60, 46E15

Received: 02.01.1979 and 28.01.1981

 English version: Mathematics of the USSR-Sbornik, 1983, 44:4, 431–446

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