In this paper, we prove the global existence and exponential energy decay results of a coupled Lamé system with distributed time delay, nonlinear source term, and without memory term by using the Faedo–Galerkin method. In addition, an appropriate Lyapunov functional, more general relaxation functions, and some properties of convex functions are considered.

中文翻译：

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具有分布时滞和源项且无记忆项的耦合Lamé系统的全局存在性和指数稳定性

在本文中，我们使用Faedo-Galerkin方法证明了具有分布时滞，非线性源项和无记忆项的耦合Lamé系统的全局存在和指数能量衰减结果。此外，还考虑了适当的Lyapunov函数，更一般的松弛函数以及凸函数的某些属性。