ABSTRACT

In this paper, we consider a viscoelastic Bresse-type system subjects to nonlinear damping, nonlinear time delay term, a finite memory and with homogeneous Dirichlet-Neumann-Neumann boundary conditions. Under a condition between the weight of delay term in the feedback and the weight of the term without delay, we prove, in case of equal speeds of wave propagation, new decay results that generalise and improve the recent results in the literature.

中文翻译：

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具有非线性延迟项的粘弹性 Bresse 型系统解的全局存在性和能量衰减

摘要

在本文中，我们考虑了一个受非线性阻尼、非线性时间延迟项、有限记忆和齐次Dirichlet-Neumann-Neumann边界条件约束的粘弹性Bresse型系统。在反馈中延迟项的权重与无延迟项的权重之间的条件下，我们证明了在波传播速度相等的情况下，新的衰减结果可以推广和改进文献中的最新结果。