The paper deals with the proof of the global existence of solutions for system of nonlinear viscoelastic Kirchhoff system with a distributed delay and general coupling terms in a bounded domain. The current study was performed by using the energy method along with Faedo–Galerkin method and under some suitable conditions in coupling terms parameters. In addition, we prove the stability result by using the multiplier method.

中文翻译：

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具有分布式延迟项的耦合基尔霍夫系统的全局存在结合解的一般衰减

该论文涉及在有界域中具有分布式延迟和一般耦合项的非线性粘弹性基尔霍夫系统系统解的全局存在性的证明。目前的研究是通过使用能量方法和 Faedo-Galerkin 方法并在耦合项参数的一些合适条件下进行的。此外，我们使用乘法器方法证明了稳定性结果。