Problem of boundary control by an elastic force on one end with the other end fixed for the telegraph equation with a variable coefficient

DOI10.1134/S0012266120020081zbMath1440.35203OpenAlexW3011736722WikidataQ115250286 ScholiaQ115250286MaRDI QIDQ2185083

M. F. Abdukarimov

Publication date: 4 June 2020

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

Full work available at URL: https://doi.org/10.1134/s0012266120020081

zbMATH Keywords

Neumann seriesone space dimension

Mathematics Subject Classification ID

Controllability (93B05) Initial-boundary value problems for second-order hyperbolic equations (35L20) Series solutions to PDEs (35C10) PDEs in connection with control and optimization (35Q93)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• 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
• Boundary control of the displacement at one end with the other end free for a process described by the telegraph equation with a variable coefficient
• Boundary control problem for the one-dimensional Klein-Gordon-Fock equation with a variable coefficient: the case of control by displacements at two endpoints
• On boundary control problems for the Klein-Gordon-Fock equation with an integrable coefficient
• On a boundary control at one end of a process described by the telegraph equation
• Optimization of the boundary control induced by the third boundary condition
• Boundary control of an elastic force at one end of a string
• Exact controllability for the semilinear wave equation
• Exact boundary controllability on \(L_ 2(\Omega)\times H^{-1}(\Omega)\) of the wave equation with Dirichlet boundary control acting on a portion of the boundary \(\partial \Omega\), and related problems
• Boundary control of vibrations at one endpoint with the other endpoint free in terms of a finite-energy generalized solution of the wave equation
• Optimal boundary displacement control of string vibrations with a nonlocal oddness condition of the first kind
• Exact Controllability, Stabilization and Perturbations for Distributed Systems
• Boundary control of oscillations at one endpoint with the other endpoint fixed in terms of a finite-energy generalized solution of the wave equation

This page was built for publication: Problem of boundary control by an elastic force on one end with the other end fixed for the telegraph equation with a variable coefficient