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Baire Classes of Functionals on the Space of Linear Differential Systems

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Abstract

We study the question about representing a functional on the space of linear differential systems in the form of k successive limits (k ∈ ℕ) of a sequence of functionals each of which defined by the restriction of the system to a finite interval (depending on the functional) of the time semiaxis. The case in which the functional is a Lyapunov invariant is considered separately.

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Acknowledgments

The author is grateful to V.V. Bykov for posing the problem and for attention paid to this work.

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Authors and Affiliations

  1. Lomonosov Moscow State University, Moscow, 119991, Russia

    A. V. Ravcheev

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  1. A. V. Ravcheev
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Correspondence to A. V. Ravcheev.

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Russian Text © The Author(s), 2019, published in Differentsial’nye Uravneniya, 2019, Vol. 55, No. 10, pp. 1328–1337.

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Ravcheev, A.V. Baire Classes of Functionals on the Space of Linear Differential Systems. Diff Equat 55, 1284–1293 (2019). https://doi.org/10.1134/S0012266119100033

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  • DOI: https://doi.org/10.1134/S0012266119100033

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