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JOURNALS // Vestnik KRAUNC. Fiziko-Matematicheskie Nauki // Archive

Vestnik KRAUNC. Fiz.-Mat. Nauki, 2019 Volume 29, Number 4, Pages 19–27 (Mi vkam365)

MATHEMATICS

Boundary control problem for one degenerate hiberbolic equation

A. H. Attaev

Institute of Applied Mathematics and Automation, 89А Shortanova St., Nalchik, 360000, Russia

Abstract: The paper studies the boundary control problem for a degenerate second-order hyperbolic equation. Necessary and sufficient conditions are established for minimal time controllability over Cauchy data. Boundary controls are presented in an explicit analytical form.

Keywords: distributed system control, degenerate hyperbolic equations, equation characteristics, data Cauchy, regular solution, boundary control problem.

UDC: 517.984.5

MSC: 35L10

DOI: 10.26117/2079-6641-2019-29-4-19-27



© Steklov Math. Inst. of RAS, 2026