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Matematicheskaya Fizika, Analiz, Geometriya [Mathematical Physics, Analysis, Geometry], 2002, Volume 9, Number 2, Pages 233–242
(Mi jmag285)
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This article is cited in 8 scientific papers (total in 8 papers)
The Markov trigonometric moment problem in controllability problems for the wave equation on a half-axis
G. M. Sklyara, L. V. Fardigolab a Szczecin University, Institute of Mathematics, 15 Wielkopolska Str., Szczecin, 70451, Poland
b Department of Mathematical Analysis, V. N. Karazin Kharkov National University, 4 Svobody Sq., Kharkov, 61077, Ukraine
Abstract:
In this paper necessary and sufficient conditions of null-controllability and approximate null-controllability are obtained for the wave equation on a half-axis. Controls solving these problems are found explicitly. Moreover bang-bang controls solving the approximate null-controllability problem are constructed with the aid of solutions of the Markov trigonometric moment problem.
Received: 30.11.2001
Citation:
G. M. Sklyar, L. V. Fardigola, “The Markov trigonometric moment problem in controllability problems for the wave equation on a half-axis”, Mat. Fiz. Anal. Geom., 9:2 (2002), 233–242
Linking options:
https://www.mathnet.ru/eng/jmag285 https://www.mathnet.ru/eng/jmag/v9/i2/p233
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