More Effective Criteria for Testing the Oscillation of Solutions of Third-Order Differential Equations

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-02-22 DOI:10.3390/axioms13030139

Najiyah Omar, Stefano Serra-Capizzano, B. Qaraad, Faizah Alharbi, O. Moaaz, E. Elabbasy

引用次数: 0

Abstract

In the current paper, we aim to study the oscillatory behavior of a new class of third-order differential equations. In the present study, we are interested in a better understanding of the relationships between the solutions and their derivatives. The recursive nature of these relationships enables us to obtain new criteria that ensure the oscillation of all solutions of the studied equation. In comparison with previous studies, our results are more general and include models in a wider range of applications. Furthermore, our findings are also significant because no additional restrictive conditions are required. The presented examples illustrate the significance of the results.

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测试三阶微分方程解振荡的更有效标准

本文旨在研究一类新的三阶微分方程的振荡行为。在本研究中，我们有兴趣更好地理解解及其导数之间的关系。这些关系的递归性质使我们能够获得新的标准，确保所研究方程的所有解都是振荡的。与之前的研究相比，我们的结果更具普遍性，包含的模型应用范围更广。此外，由于不需要额外的限制条件，我们的研究结果也具有重要意义。所介绍的示例说明了结果的重要性。

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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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.