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<p>In this paper, we study a generalized thermo-viscoelastic equation with a variable exponent, subject to a fixed boundary condition at one end and boundary output feedback control at the other. The existence of a weak solution for the closed-loop system is established using the Galerkin method. Moreover, the energy decay of the system is obtained.</p>

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Existence and energy decay of the solutions for nonlinear thermoviscoelastic system with a variable exponent and a boundary output feedback control

  • 期刊论文

  • 发表日期：

    2026年2月10日

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  • Mohamed Dilmi,
  • Zeyneb Bouderbala,
  • Mourad Dilmi

摘要

In this paper, we study a generalized thermo-viscoelastic equation with a variable exponent, subject to a fixed boundary condition at one end and boundary output feedback control at the other. The existence of a weak solution for the closed-loop system is established using the Galerkin method. Moreover, the energy decay of the system is obtained.