Boundary control problem for the one-dimensional Klein-Gordon-Fock equation with a variable coefficient. The case of control by displacement at one endpoint with the other endpoint being fixed

DOI10.1134/S0012266113060074zbMath1273.93024OpenAlexW1985844420WikidataQ115252029 ScholiaQ115252029MaRDI QIDQ376369

M. F. Abdukarimov, Leonid V. Kritskov

Publication date: 4 November 2013

Published in: Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0012266113060074

zbMATH Keywords

boundary controlDirichlet conditionvariable coefficientcritical time intervalone-dimensional Klein-Gordon-Fock equation

Mathematics Subject Classification ID

Controllability (93B05) Control/observation systems governed by partial differential equations (93C20) Initial-boundary value problems for second-order hyperbolic equations (35L20)

Related Items (4)

Boundary control problem for the one-dimensional Klein-Gordon-Fock equation with a variable coefficient: the case of control by displacements at two endpoints ⋮ Problem of boundary control by an elastic force on one end with the other end fixed for the telegraph equation with a variable coefficient ⋮ Stability of a solution to one combined mixed problem for the Klein-Gordon-Fock equation with a variable coefficient ⋮ On boundary control problems for the Klein-Gordon-Fock equation with an integrable coefficient

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• Boundary control of oscillations at one endpoint with the other endpoint fixed in terms of a finite-energy generalized solution of the wave equation

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