{"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}
引用次数: 0
Abstract
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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