半线性抛物问题超范数中的一致吸引子及其在鲁棒稳定性理论中的应用

IF 0.5 Q3 MATHEMATICS

Archivum Mathematicum Pub Date : 2023-01-01 DOI:10.5817/am2023-2-191

O. Kapustyan, O. Kapustian, Oleksandr Stanzytskyi, Ihor Korol

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引用次数: 1

摘要

．本文建立了连续函数相空间中具有有界非自治扰动的半线性抛物型问题的一致吸引子的存在性。应用所得结果证明了无扰动系统关于全局吸引子的渐近增益性质。

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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Uniform attractors in sup-norm for semi linear parabolic problem and application to the robust stability theory

. In this paper we establish the existence of the uniform attractor for a semi linear parabolic problem with bounded non autonomous disturbances in the phase space of continuous functions. We applied obtained results to prove the asymptotic gain property with respect to the global attractor of the undisturbed system.

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来源期刊

Archivum Mathematicum MATHEMATICS-

CiteScore

0.70

自引率

16.70%

发文量

审稿时长

35 weeks

期刊介绍： Archivum Mathematicum is a mathematical journal which publishes exclusively scientific mathematical papers. The journal, founded in 1965, is published by the Department of Mathematics and Statistics of the Faculty of Science of Masaryk University. A review of each published paper appears in Mathematical Reviews and also in Zentralblatt für Mathematik. The journal is indexed by Scopus.