半线性三阶时滞微分方程的kneser型振动判据

IF 2.2 3区 综合性期刊 Q2 MULTIDISCIPLINARY SCIENCES
Symmetry-Basel Pub Date : 2023-10-29 DOI:10.3390/sym15111994
Fahd Masood, Clemente Cesarano, Osama Moaaz, Sameh S. Askar, Ahmad M. Alshamrani, Hamdy El-Metwally
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引用次数: 0

摘要

本文研究了三阶拟线性时滞方程的振动特性,重点讨论了典型情形。引入了新的充分条件,旨在辨别解的性质-它们是否表现出振荡行为或收敛于零。本研究通过扩充文献,丰富了该领域现有的知识版图。我们证明结果所依赖的基础之一是正解和负解之间的对称性,因此我们可以利用这个特征,得到保证所有解振荡的判据。本文通过提供说明性的例子来增强理解,这些例子有效地展示了既定发现的结果和含义。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Kneser-Type Oscillation Criteria for Half-Linear Delay Differential Equations of Third Order
This paper delves into the analysis of oscillation characteristics within third-order quasilinear delay equations, focusing on the canonical case. Novel sufficient conditions are introduced, aimed at discerning the nature of solutions—whether they exhibit oscillatory behavior or converge to zero. By expanding the literature, this study enriches the existing knowledge landscape within this field. One of the foundations on which we rely in proving the results is the symmetry between the positive and negative solutions, so that we can, using this feature, obtain criteria that guarantee the oscillation of all solutions. The paper enhances comprehension through the provision of illustrative examples that effectively showcase the outcomes and implications of the established findings.
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来源期刊
Symmetry-Basel
Symmetry-Basel MULTIDISCIPLINARY SCIENCES-
CiteScore
5.40
自引率
11.10%
发文量
2276
审稿时长
14.88 days
期刊介绍: Symmetry (ISSN 2073-8994), an international and interdisciplinary scientific journal, publishes reviews, regular research papers and short notes. Our aim is to encourage scientists to publish their experimental and theoretical research in as much detail as possible. There is no restriction on the length of the papers. Full experimental and/or methodical details must be provided, so that results can be reproduced.
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