具有非局部边界条件的二阶 Sturm-Liouville 问题的正解

IF 1.1 3区数学 Q1 MATHEMATICS

Mediterranean Journal of Mathematics Pub Date : 2024-08-19 DOI:10.1007/s00009-024-02716-y

Feng Zhang, HuiJuan Zhu, Fanglei Wang

{"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":49829,"journal":{"name":"Mediterranean Journal of Mathematics","volume":"88 1","pages":""},"PeriodicalIF":1.1000,"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\":49829,\"journal\":{\"name\":\"Mediterranean Journal of Mathematics\",\"volume\":\"88 1\",\"pages\":\"\"},\"PeriodicalIF\":1.1000,\"publicationDate\":\"2024-08-19\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Mediterranean Journal of Mathematics\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1007/s00009-024-02716-y\",\"RegionNum\":3,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mediterranean Journal of Mathematics","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1007/s00009-024-02716-y","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}

引用次数: 0

摘要

基于对 Krasnoselskii 定点定理和 Avery-Peterson 定点定理的推广，本文的目的是研究带有导数项和非局部边界条件的二阶 Sturm-Liouville 问题正解的存在性。此外，本文还给出了一些例子来说明我们的主要结果。

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

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.

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

Mediterranean Journal of Mathematics 数学-数学

CiteScore

1.80

自引率

0.00%

发文量

261

审稿时长

6-12 weeks

期刊介绍： The Mediterranean Journal of Mathematics (MedJM) is a publication issued by the Department of Mathematics of the University of Bari. The new journal replaces the Conferenze del Seminario di Matematica dell’Università di Bari which has been in publication from 1954 until 2003. The Mediterranean Journal of Mathematics aims to publish original and high-quality peer-reviewed papers containing significant results across all fields of mathematics. The submitted papers should be of medium length (not to exceed 20 printed pages), well-written and appealing to a broad mathematical audience. In particular, the Mediterranean Journal of Mathematics intends to offer mathematicians from the Mediterranean countries a particular opportunity to circulate the results of their researches in a common journal. Through such a new cultural and scientific stimulus the journal aims to contribute to further integration amongst Mediterranean universities, though it is open to contribution from mathematicians across the world.