The Markov trigonometric moment problem in controllability problems for the wave equation on a half-axis

  • G. M. Sklyar
  • L. V. Fardigola

Анотація

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.

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G. M. Sklyar, L. V. Fardigola, The Markov trigonometric moment problem in controllability problems for the wave equation on a half-axis, Мат. физ. анал. геом. 9 (2002), 233-242.

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