具有时滞的Hilbert空间中二阶抽象粘弹性方程的一般衰变

IF 0.4 Q4 MATHEMATICS

Boletim Sociedade Paranaense de Matematica Pub Date : 2022-12-26 DOI:10.5269/bspm.52175

Houria Chellaoua, Y. Boukhatem

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引用次数: 0

摘要

本文讨论了一个具有时滞的二阶抽象粘弹性方程和满足$h^｛\prime｝（t）\leq-\zeta（t）G（h（t））$的松弛函数。在适当的条件下，我们通过引入一个适当的Lyaponov泛函和凸函数的一些性质，建立了能量的显式和一般的衰变率结果。最后给出了一些应用。这项工作将以前没有时间延迟项的结果推广到有延迟项的。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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General decay for second-order abstract viscoelastic equation in Hilbert spaces with time delay

The paper is concerned with a second-order abstract viscoelastic equation with time delay and a relaxation function satisfying $ h^{\prime}(t)\leq -\zeta(t) G(h(t))$. Under a suitable conditions, we establish an explicit and general decay rate results of the energy by introducing a suitable Lyaponov functional and some proprieties of the convex functions. Finally, some applications are given. This work generalizes the previous results without time delay term to those with delay.

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来源期刊

Boletim Sociedade Paranaense de Matematica MATHEMATICS-

CiteScore

1.40

自引率

0.00%

发文量

140

审稿时长

25 weeks