{"title":"具有非局部边界条件的二阶 Sturm-Liouville 问题的正解","authors":"Feng Zhang, HuiJuan Zhu, Fanglei Wang","doi":"10.1007/s00009-024-02716-y","DOIUrl":null,"url":null,"abstract":"<p>Based on a generalization of the Krasnoselskii’s fixed point theorem and Avery–Peterson fixed point theorem, the object of this paper is to investigate the existence of positive solutions to a second-order Sturm–Liouville problem with derivative term and nonlocal boundary conditions. Also, some examples are given to illustrate our main results.</p>","PeriodicalId":1,"journal":{"name":"Accounts of Chemical Research","volume":null,"pages":null},"PeriodicalIF":16.4000,"publicationDate":"2024-08-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Positive Solutions to a Second-Order Sturm–Liouville Problem with Nonlocal Boundary Conditions\",\"authors\":\"Feng Zhang, HuiJuan Zhu, Fanglei Wang\",\"doi\":\"10.1007/s00009-024-02716-y\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>Based on a generalization of the Krasnoselskii’s fixed point theorem and Avery–Peterson fixed point theorem, the object of this paper is to investigate the existence of positive solutions to a second-order Sturm–Liouville problem with derivative term and nonlocal boundary conditions. Also, some examples are given to illustrate our main results.</p>\",\"PeriodicalId\":1,\"journal\":{\"name\":\"Accounts of Chemical Research\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":16.4000,\"publicationDate\":\"2024-08-19\",\"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/s00009-024-02716-y\",\"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/s00009-024-02716-y","RegionNum":1,"RegionCategory":"化学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"CHEMISTRY, MULTIDISCIPLINARY","Score":null,"Total":0}
Positive Solutions to a Second-Order Sturm–Liouville Problem with Nonlocal Boundary Conditions
Based on a generalization of the Krasnoselskii’s fixed point theorem and Avery–Peterson fixed point theorem, the object of this paper is to investigate the existence of positive solutions to a second-order Sturm–Liouville problem with derivative term and nonlocal boundary conditions. Also, some examples are given to illustrate our main results.
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.