Results 21 to 30 of about 797 (117)
Averaged Control Problems Governed by a Semilinear Distributed Systems
Journal of Mathematics, 2023 In this work, we consider the regional averaged controllability (RAC) problem governed by a class of semilinear hyperbolic systems. We start by giving the definitions of the exact and approximate RAC systems.
Rabie Zine +3 more
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Controllability for a Wave Equation with Moving Boundary
Journal of Applied Mathematics, 2014 We investigate the controllability for a one-dimensional wave equation in domains with moving boundary. This model characterizes small vibrations of a stretched elastic string when one of the two endpoints varies. When the speed of the moving endpoint is
Lizhi Cui, Libo Song
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Regional boundary observability for linear time-fractional systems
Partial Differential Equations in Applied Mathematics, 2022 In the present paper, we investigate the possibility of reconstructing the initial state, of a time-fractional system with Caputo fractional derivative, on a subregion B of the boundary ∂Ωof the evolution domain Ω.
Khalid Zguaid, Fatima Zahrae El Alaoui
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Energies, 2022 In most manufacturing industries, squirrel cage induction motors (SCIMs) are essential due to their robust nature, high torque generation, and low maintenance costs, so their failure often times affects productivity, profitability, reliability, etc ...
Chibuzo Nwabufo Okwuosa, Jang-wook Hur
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Partial exact controllability for the linear thermo-viscoelastic model
Electronic Journal of Differential Equations, 1998 The problem of partial exact controllability for linear thermo-viscoelasticity is considered. Using classical multiplier techniques, a boundary observability inequality is established under smallness restrictions on coupling parameters and relaxation ...
Wei-Jiu Liu, Graham H. Williams
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Optimal control for a higher-order nonlinear parabolic equation describing crystal surface growth
Nonlinear Analysis, 2018 In this paper, we shall study the optimal control of the initial-boundary value problem of a higher-order nonlinear parabolic equation describing crystal surface growth. The existence and uniqueness of weak solutions to the problem are given.
Ning Duan, Xiaopeng Zhao
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Exact controllability of a second order integro-differential equation with a pressure term
Electronic Journal of Qualitative Theory of Differential Equations, 1998 This paper is concerned with the boundary exact controllability of the equation $$u''-\Delta u-\int_0^t g(t-\sigma)\Delta u(\sigma) d\sigma=-\nabla p$$ where $Q$ is a finite cilinder $\Omega\times]0,T[$, $\Omega$ is a bounded domain of $R^n$, $u=(u_1(x,t)
Marcelo Cavalcanti +3 more
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PLoS ONEWe establish, the existence and uniqueness of solutions to a class of Atangana-Baleanu (AB) derivative-based nonlinear fractional integro-differential equations with fractional boundary conditions by using special type of operators over general Banach ...
Samy A Harisa +4 more
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Partial Differential Equations in Applied MathematicsThe primary focus of this paper is the concept of controllability criteria for the impulsive Hilfer fractional integro-differential equation (IHFrIDE) of order 0≤ϖ≤1 and ...
Kanagaraj Muthuselvan +3 more
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Convergence of the boundary control for the wave equation in domains with holes of critical size
Electronic Journal of Differential Equations, 2002 In this paper, we consider the homogenization of the exact controllability problem for the wave equation in periodically perforated domain with holes of critical size. We show that the boundary control converges to the boundary control of the homogenized
A. K. Nandakumaran
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