{"title":"关于周期适形Sturm-Liouville问题的评述","authors":"Wei-Chuan Wang","doi":"10.1155/2023/7656491","DOIUrl":null,"url":null,"abstract":"<div>\n <p>The conformable Sturm–Liouville problem (CSLP), <span></span><math></math>, for 0 < <i>α</i> ≤ 1, is studied under some certain conditions on the coefficients <i>p</i>, <i>ρ</i>, and <i>q</i>. According to an interesting idea proposed by P. Binding and H. Volkmer [Binding et al., 2012, Binding et al., 2013], we will derive how to reduce the periodic or antiperiodic (CSLP) to an analysis of the Prüfer angle. The eigenvalue interlacing property related to (CSLP) will be given.</p>\n </div>","PeriodicalId":50653,"journal":{"name":"Complexity","volume":"2023 1","pages":""},"PeriodicalIF":1.7000,"publicationDate":"2023-05-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1155/2023/7656491","citationCount":"0","resultStr":"{\"title\":\"Remarks on the Periodic Conformable Sturm–Liouville Problems\",\"authors\":\"Wei-Chuan Wang\",\"doi\":\"10.1155/2023/7656491\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div>\\n <p>The conformable Sturm–Liouville problem (CSLP), <span></span><math></math>, for 0 < <i>α</i> ≤ 1, is studied under some certain conditions on the coefficients <i>p</i>, <i>ρ</i>, and <i>q</i>. According to an interesting idea proposed by P. Binding and H. Volkmer [Binding et al., 2012, Binding et al., 2013], we will derive how to reduce the periodic or antiperiodic (CSLP) to an analysis of the Prüfer angle. The eigenvalue interlacing property related to (CSLP) will be given.</p>\\n </div>\",\"PeriodicalId\":50653,\"journal\":{\"name\":\"Complexity\",\"volume\":\"2023 1\",\"pages\":\"\"},\"PeriodicalIF\":1.7000,\"publicationDate\":\"2023-05-10\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://onlinelibrary.wiley.com/doi/epdf/10.1155/2023/7656491\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Complexity\",\"FirstCategoryId\":\"5\",\"ListUrlMain\":\"https://onlinelibrary.wiley.com/doi/10.1155/2023/7656491\",\"RegionNum\":4,\"RegionCategory\":\"工程技术\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MATHEMATICS, INTERDISCIPLINARY APPLICATIONS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Complexity","FirstCategoryId":"5","ListUrlMain":"https://onlinelibrary.wiley.com/doi/10.1155/2023/7656491","RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS, INTERDISCIPLINARY APPLICATIONS","Score":null,"Total":0}
引用次数: 0
摘要
适形Sturm-Liouville问题（CSLP），，对于0 <；根据p . Binding和H. Volkmer [Binding et al., 2012, Binding et al.， 2013]提出的一个有趣的想法，我们将推导出如何将周期或反周期（CSLP）降约为对普勒费尔角的分析。给出了与（CSLP）相关的特征值交错性质。
Remarks on the Periodic Conformable Sturm–Liouville Problems
The conformable Sturm–Liouville problem (CSLP), , for 0 < α ≤ 1, is studied under some certain conditions on the coefficients p, ρ, and q. According to an interesting idea proposed by P. Binding and H. Volkmer [Binding et al., 2012, Binding et al., 2013], we will derive how to reduce the periodic or antiperiodic (CSLP) to an analysis of the Prüfer angle. The eigenvalue interlacing property related to (CSLP) will be given.
期刊介绍：
Complexity is a cross-disciplinary journal focusing on the rapidly expanding science of complex adaptive systems. The purpose of the journal is to advance the science of complexity. Articles may deal with such methodological themes as chaos, genetic algorithms, cellular automata, neural networks, and evolutionary game theory. Papers treating applications in any area of natural science or human endeavor are welcome, and especially encouraged are papers integrating conceptual themes and applications that cross traditional disciplinary boundaries. Complexity is not meant to serve as a forum for speculation and vague analogies between words like “chaos,” “self-organization,” and “emergence” that are often used in completely different ways in science and in daily life.
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