This paper considers a one-dimensional piezoelectric beams with magnetic effect damped with a weakly nonlinear feedback in the presence of a nonlinear delay term. Under appropriate assumptions on the weight of the delay, we establish an energy decay rate, using a perturbed energy method and some properties of a convex functions. Our result generalizes the recent result obtained in Ramos et al. (Z Angew Math Phys 72:26, 2021). https://doi.org/10.1007/s00033-020-01457-8.

中文翻译：

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具有磁效应和非线性延迟项的弱非线性阻尼压电梁的能量衰减

本文考虑了在存在非线性延迟项的情况下具有弱非线性反馈阻尼磁效应的一维压电梁。在延迟权重的适当假设下，我们使用扰动能量方法和凸函数的一些属性建立能量衰减率。我们的结果概括了 Ramos 等人最近获得的结果。(Z Angew Math Phys 72:26, 2021)。https://doi.org/10.1007/s00033-020-01457-8。