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<p>This paper considers the stabilization of a class of piezoelectric beam equations with degenerate viscoelastic memory and time-varying delay. By exploiting the Kato’s variable norm technique, the well-posedness of the system is established. The exponential stability of the total energy of the system is further obtained by constructing an appropriate Lyapunov function under suitable assumptions.</p>

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Exponential stabilization for a piezoelectric beam with degenerate viscoelastic memory and time-varying delay

  • 期刊论文

  • 发表日期：

    2025年9月6日

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  • Menglan Liao

摘要

This paper considers the stabilization of a class of piezoelectric beam equations with degenerate viscoelastic memory and time-varying delay. By exploiting the Kato’s variable norm technique, the well-posedness of the system is established. The exponential stability of the total energy of the system is further obtained by constructing an appropriate Lyapunov function under suitable assumptions.