粘弹性中性微分问题的最优稳定性

IF 0.9 4区数学 Q2 MATHEMATICS Journal of Integral Equations and Applications Pub Date : 2022-09-01 DOI:10.1216/jie.2022.34.335

J. Hassan, N. Tatar

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引用次数: 0

摘要

研究了一类粘弹性中立型微分方程的渐近性质。建立了与该问题相关的具有显式能量衰减结果的稳定性。发现能量衰减率是最优的，在某种意义上，它与松弛函数的衰减率相同。

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Optimal stability for a viscoelastic neutral differential problem

We investigate the asymptotic behavior of a viscoelastic neutral di erential equation. A stability with an explicit decay result of the energy associated to the problem is established. It is found that the energy decay rate is optimal, in the sense that, it is the same as that of the relaxation function.

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来源期刊

Journal of Integral Equations and Applications MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

1.30

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Journal of Integral Equations and Applications is an international journal devoted to research in the general area of integral equations and their applications. The Journal of Integral Equations and Applications, founded in 1988, endeavors to publish significant research papers and substantial expository/survey papers in theory, numerical analysis, and applications of various areas of integral equations, and to influence and shape developments in this field. The Editors aim at maintaining a balanced coverage between theory and applications, between existence theory and constructive approximation, and between topological/operator-theoretic methods and classical methods in all types of integral equations. The journal is expected to be an excellent source of current information in this area for mathematicians, numerical analysts, engineers, physicists, biologists and other users of integral equations in the applied mathematical sciences.