Email this article Baire Classes of Functionals on the Space of Linear Differential Systems
- Authors: Ravcheev A.V.1
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Affiliations:
- Lomonosov Moscow State University
- Issue: Vol 55, No 10 (2019)
- Pages: 1284-1293
- Section: Ordinary Differential Equations
- URL: https://journal-vniispk.ru/0012-2661/article/view/155155
- DOI: https://doi.org/10.1134/S0012266119100033
- ID: 155155
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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.
About the authors
A. V. Ravcheev
Lomonosov Moscow State University
Author for correspondence.
Email: rav4eev@yandex.ru
Russian Federation, Moscow, 119991
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