带亚线性和超线性项的二阶非正则延迟微分方程：通过佳能变换和算术几何不等式的新振荡标准

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-08-29 DOI:10.1007/s12346-024-01130-9

Ganesh Purushothaman, Kannan Suresh, Ethiraju Thandapani, Ercan Tunç

{"title":"带亚线性和超线性项的二阶非正则延迟微分方程：通过佳能变换和算术几何不等式的新振荡标准","authors":"Ganesh Purushothaman, Kannan Suresh, Ethiraju Thandapani, Ercan Tunç","doi":"10.1007/s12346-024-01130-9","DOIUrl":null,"url":null,"abstract":"In this paper, the authors present new oscillation criteria for the noncanonical second-order delay differential equation with mixed nonlinearities $$\\begin{aligned} (a(t)x^{\\prime }(t))^{\\prime }+ \\sum _{j=1}^{n} q_{j}(t) x^{\\alpha _{j}}(\\sigma _{j}(t))=0 \\end{aligned}$$using an arithmetic–geometric mean inequality. We establish our results first by transforming the studied equation into canonical form and then applying a comparison technique and integral averaging method to get new oscillation criteria. Examples are provided to illustrate the importance and novelty of their main results.","PeriodicalId":1,"journal":{"name":"Accounts of Chemical Research","volume":null,"pages":null},"PeriodicalIF":16.4000,"publicationDate":"2024-08-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Second-Order Noncanonical Delay Differential Equations with Sublinear and Superlinear Terms: New Oscillation Criteria via Canonical Transform and Arithmetic–Geometric Inequality\",\"authors\":\"Ganesh Purushothaman, Kannan Suresh, Ethiraju Thandapani, Ercan Tunç\",\"doi\":\"10.1007/s12346-024-01130-9\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, the authors present new oscillation criteria for the noncanonical second-order delay differential equation with mixed nonlinearities $$\\\\begin{aligned} (a(t)x^{\\\\prime }(t))^{\\\\prime }+ \\\\sum _{j=1}^{n} q_{j}(t) x^{\\\\alpha _{j}}(\\\\sigma _{j}(t))=0 \\\\end{aligned}$$using an arithmetic–geometric mean inequality. We establish our results first by transforming the studied equation into canonical form and then applying a comparison technique and integral averaging method to get new oscillation criteria. Examples are provided to illustrate the importance and novelty of their main results.\",\"PeriodicalId\":1,\"journal\":{\"name\":\"Accounts of Chemical Research\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":16.4000,\"publicationDate\":\"2024-08-29\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Accounts of Chemical Research\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1007/s12346-024-01130-9\",\"RegionNum\":1,\"RegionCategory\":\"化学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"CHEMISTRY, MULTIDISCIPLINARY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Accounts of Chemical Research","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1007/s12346-024-01130-9","RegionNum":1,"RegionCategory":"化学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"CHEMISTRY, MULTIDISCIPLINARY","Score":null,"Total":0}

引用次数: 0

摘要

在本文中、(a(t)x^{\prime }(t))^{\prime }+ \sum _{j=1}^{n} q_{j}(t) x^{alpha _{j}}(\sigma _{j}(t))=0 \end{aligned}$$。我们首先将所研究的方程转化为规范形式，然后应用比较技术和积分平均法得到新的振荡准则，从而建立我们的结果。我们举例说明了主要结果的重要性和新颖性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

Second-Order Noncanonical Delay Differential Equations with Sublinear and Superlinear Terms: New Oscillation Criteria via Canonical Transform and Arithmetic–Geometric Inequality

In this paper, the authors present new oscillation criteria for the noncanonical second-order delay differential equation with mixed nonlinearities

$$\begin{aligned} (a(t)x^{\prime }(t))^{\prime }+ \sum _{j=1}^{n} q_{j}(t) x^{\alpha _{j}}(\sigma _{j}(t))=0 \end{aligned}$$

using an arithmetic–geometric mean inequality. We establish our results first by transforming the studied equation into canonical form and then applying a comparison technique and integral averaging method to get new oscillation criteria. Examples are provided to illustrate the importance and novelty of their main results.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

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.