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Generalization of the Mukhamadiev theorem on the invertibility of functional operators in the space of bounded functions

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Ukrainian Mathematical Journal Aims and scope

Abstract

We establish necessary and sufficient conditions for the invertibility of the linear bounded operator d m / dt m + A in the space of functions bounded on ℝ.

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Authors and Affiliations

  1. National University of Water Management and Nature Resources Application, Rivne, Ukraine

    V. Yu. Slyusarchuk

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  1. V. Yu. Slyusarchuk
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 60, No. 3, pp. 398–412, March, 2008.

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Slyusarchuk, V.Y. Generalization of the Mukhamadiev theorem on the invertibility of functional operators in the space of bounded functions. Ukr Math J 60, 462–480 (2008). https://doi.org/10.1007/s11253-008-0068-x

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