Výsledky vyhledávání - "Zouhair, Walid"

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Internal null controllability for the one-dimensional heat equation with dynamic boundary conditions

Autor: Hassi, El Mustapha Ait Ben, Jakhoukh, Mariem, Maniar, Lahcen, Zouhair, Walid

The primary focus of this paper is to establish the internal null controllability for the one-dimensional heat equation featuring dynamic boundary conditions. This achievement is realized by introducing a new Carleman estimate and an observability in

Externí odkaz: http://arxiv.org/abs/2404.01539

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Controllability of suspension bridge model proposed by Lazer and Mckenna under the influence of impulses, delays, and non-local conditions

Autor: Zouhair, Walid, Leiva, Hugo

The main purpose of this paper is to prove the controllability of the model proposed by Lazer and Mckenna under the influence of impulses, delay, and non-local conditions. First, we study approximate controllability by employing a technique that pull

Externí odkaz: http://arxiv.org/abs/2212.13978

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Finite-time stabilization and impulse control of heat equation with dynamic boundary conditions

Autor: Chorfi, Salah-Eddine, Guermai, Ghita El, Maniar, Lahcen, Zouhair, Walid

Publikováno v: Journal of Dynamical and Control Systems (2023)

In this paper, we study the impulse controllability of a multi-dimensional heat equation with dynamic boundary conditions in a bounded smooth domain. Using a recent approach based on finite-time stabilization, we show that the system is impulse null

Externí odkaz: http://arxiv.org/abs/2212.10342

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On the existence and uniqueness of solutions for non-autonomous semi-linear systems with non-instantaneous impulses, delay, and non-local conditions

Autor: Lalvay, Sebastiàn, Padilla-segarra, Adriàn, Zouhair, Walid

A non-autonomous evolution semi-linear differential system under non-instantaneous impulses, delays, and perturbed by non-local conditions is studied. Its piece-wise continuous solutions belong to a finite-dimensional Banach space. The existence and

Externí odkaz: http://arxiv.org/abs/2203.05905

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Qualitative properties for the 1-D Impulsive Wave Equation: Controllability and Observability

Autor: Zouhair, Walid, Aissa, Akram Ben

In this paper, we establish some important results for the impulsive wave equation. We begin by proving the existence of a solution. Then, we study the impulse approximate controllability where the control function acts on a subdomain $\omega$ and at

Externí odkaz: http://arxiv.org/abs/2106.02868

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Approximate controllability of semi-linear heat equation with Non-instantaneous impulses, memory and delay

Autor: Leiva, Hugo, Zouhair, Walid, Entekhabi, Mozhgan entekhabi, Delgado, Euro Lucena

The semilinear heat equation with non-instantaneous impulses \textbf{(NII)}, memory, and delay is considered and its approximate controllability is obtained. This is done by employing a technique that avoids fixed point theorems and pulls back the co

Externí odkaz: http://arxiv.org/abs/2008.02094

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