Stability result for an abstract delayed evolution equation with arbitrary decay in viscoelasticity

机译：浮动粘弹性任意衰减的摘要延迟演化方程的稳定性结果

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摘要

In this paper, we consider the following second-order abstract semilinear evolution equation with past history and time delay. Under suitable conditions on initial data, we prove the well-posedness by using the semigroup arguments. The stability result is also established defining a suitable Lyapunov functional for a larger class of kernels. An application is also given.

机译：在本文中，我们考虑以下二阶抽象半线性演化方程，具有过去的历史和时间延迟。在初始数据的合适条件下，我们通过使用半群参数来证明良好的良好。还建立了稳定性结果，为更大类核定义合适的Lyapunov功能。还给出了应用程序。

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《International Conference of Mathematical Sciences》|2019年|1 volume (various pagings) :|共4页
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作者
Houria Chellaoua; Yamma Boukhatem;
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正文语种
中图分类 O1-532;
关键词
Abstract evolution equation; Past history; Time delay;

机译：抽象的演化方程;过去的历史;时间延迟;

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4. Stability result for an abstract delayed evolution equation with arbitrary decay in viscoelasticity [C] . Houria Chellaoua, Yamma Boukhatem International Conference of Mathematical Sciences . 2019

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7. Well-posedness and stability results for nonlinear abstract evolution equations with time delays [O] . Nicaise, Serge, Pignotti, Cristina 2017

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Stability result for an abstract delayed evolution equation with arbitrary decay in viscoelasticity

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