具有分布延迟的对数波动方程的存在性和指数衰减

IF 0.9 4区 数学 Q1 Mathematics Miskolc Mathematical Notes Pub Date : 2023-01-01 DOI:10.18514/mmn.2023.4155
Hazal Yüksekkaya, E. Pişkin
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引用次数: 1

摘要

. 在本文中,我们处理了一个具有分布延迟的对数波动方程。首先,利用半群理论建立了系统的适定性。然后利用井深法得到了解的整体存在性。此外,在适当的分布延迟权值和强阻尼权值假设下,我们得到了指数衰减的结果。
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Existence and exponential decay of a logarithmic wave equation with distributed delay
. In this article, we deal with a logarithmic wave equation with distributed delay. Firstly, we establish the well-posedness by utilizing the semigroup theory. Later, we obtain the global existence of solutions by using the well-depth method. Moreover, under appropriate assumptions on the weight of the distributed delay and that of strong damping, we get the exponential decay results.
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来源期刊
Miskolc Mathematical Notes
Miskolc Mathematical Notes Mathematics-Algebra and Number Theory
CiteScore
2.00
自引率
0.00%
发文量
9
期刊介绍: Miskolc Mathematical Notes, HU ISSN 1787-2405 (printed version), HU ISSN 1787-2413 (electronic version), is a peer-reviewed international mathematical journal aiming at the dissemination of results in many fields of pure and applied mathematics.
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