[HTML][HTML] Exact controllability for a one-dimensional wave equation in non-cylindrical domains

L Cui, X Liu, H Gao - Journal of Mathematical Analysis and Applications, 2013 - Elsevier
This paper is addressed to a study of the controllability for a one-dimensional wave equation
in domains with moving boundary. This equation characterizes the motion of a string with a …

[PDF][PDF] Exact controllability problem of a wave equation in non-cylindrical domains

H Wang, Y He, S Li - Electronic Journal of Differential Equations, 2015 - emis.de
Let α:[0,∞)→(0,∞) be a twice continuous differentiable function which satisfies that α (0)= 1,
α is monotone and 0< c1≤ α (t)≤ c2< 1 for some constants c1, c2. The exact controllability …

Exact controllability for a one-dimensional wave equation with the fixed endpoint control

L Cui, Y Jiang, Y Wang - Boundary Value Problems, 2015 - Springer
This paper is devoted to the study of the exact controllability for a one-dimensional wave
equation in domains with moving boundary. This equation characterizes the motion of a …

Exact controllability for a degenerate and singular wave equation with moving boundary

A Moumni, J Salhi - Numerical Algebra, Control and Optimization, 2023 - aimsciences.org
This paper is concerned with the exact boundary controllability for a degenerate and
singular wave equation in a bounded interval with a moving endpoint. By the multiplier …

[PDF][PDF] Exact controllability for a wave equation with mixed boundary conditions in a non-cylindrical domain

L Cui, H Gao - Electron. J. Differ. Equ, 2014 - emis.de
In this article we study the exact controllability of a one-dimensional wave equation with
mixed boundary conditions in a non-cylindrical domain. The fixed endpoint has a Dirichlet …

Exact controllability for a wave equation with fixed boundary control

L Cui, L Song - Boundary Value Problems, 2014 - Springer
This paper addresses the study of the controllability for a one-dimensional wave equation in
domains with moving boundary. This equation characterizes the motion of a string with a …

Exact Null Controllability of String Equations with Neumann Boundaries

L Cui, J Lu - Journal of Mathematics, 2024 - Wiley Online Library
This article focuses on the exact null controllability of a one‐dimensional wave equation in
noncylindrical domains. Both the fixed endpoint and the moving endpoint are Neumann …

Exact Null Controllability of a Wave Equation with Dirichlet–Neumann Boundary in a Non-Cylindrical Domain

L Cui, J Lu - Mathematics, 2023 - mdpi.com
In this paper, by applying the Hilbert Uniqueness Method in a non-cylindrical domain, we
prove the exact null controllability of one wave equation with a moving boundary. The …

Exact Null Controllability of a One-Dimensional Wave Equation with a Mixed Boundary

L Cui, J Lu - Mathematics, 2023 - mdpi.com
In this paper, exact null controllability of one-dimensional wave equations in non-cylindrical
domains was discussed. It is different from past papers, as we consider boundary conditions …

Hierarchical control for the wave equation with a moving boundary

IP de Jesus - Journal of Optimization Theory and Applications, 2016 - Springer
This paper addresses the study of the hierarchical control for the one-dimensional wave
equation in intervals with a moving boundary. This equation models the motion of a string …