具有谱边界条件的脉冲Sturm-Liouville算子的内反边值问题

IF 1.1 Q2 MATHEMATICS, APPLIED

Computational Methods for Differential Equations Pub Date : 2021-02-22 DOI:10.22034/CMDE.2021.34215.1567

Y. Khalili, M. K. Moghadam

{"title":"具有谱边界条件的脉冲Sturm-Liouville算子的内反边值问题","authors":"Y. Khalili, M. K. Moghadam","doi":"10.22034/CMDE.2021.34215.1567","DOIUrl":null,"url":null,"abstract":"In this study, we discuss the inverse problem for the Sturm-Liouville operator with the impulse and with the spectral boundary conditions on the finite interval (0, pi). By taking the Mochizuki-Trooshin's method, we have shown that some information of eigenfunctions at some interior point and parts of two spectra can uniquely determine the potential function q(x) and the boundary conditions.","PeriodicalId":44352,"journal":{"name":"Computational Methods for Differential Equations","volume":null,"pages":null},"PeriodicalIF":1.1000,"publicationDate":"2021-02-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"The interior inverse boundary value problem for the impulsive Sturm-Liouville operator with the spectral boundary conditions\",\"authors\":\"Y. Khalili, M. K. Moghadam\",\"doi\":\"10.22034/CMDE.2021.34215.1567\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this study, we discuss the inverse problem for the Sturm-Liouville operator with the impulse and with the spectral boundary conditions on the finite interval (0, pi). By taking the Mochizuki-Trooshin's method, we have shown that some information of eigenfunctions at some interior point and parts of two spectra can uniquely determine the potential function q(x) and the boundary conditions.\",\"PeriodicalId\":44352,\"journal\":{\"name\":\"Computational Methods for Differential Equations\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":1.1000,\"publicationDate\":\"2021-02-22\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Computational Methods for Differential Equations\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.22034/CMDE.2021.34215.1567\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MATHEMATICS, APPLIED\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Computational Methods for Differential Equations","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.22034/CMDE.2021.34215.1567","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}

引用次数: 0

摘要

本文讨论了在有限区间(0,pi)上具有脉冲和谱边界条件的Sturm-Liouville算子的逆问题。利用Mochizuki-Trooshin的方法，我们证明了两个谱的某些内部点和部分特征函数的某些信息可以唯一地决定势函数q(x)和边界条件。

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

The interior inverse boundary value problem for the impulsive Sturm-Liouville operator with the spectral boundary conditions

In this study, we discuss the inverse problem for the Sturm-Liouville operator with the impulse and with the spectral boundary conditions on the finite interval (0, pi). By taking the Mochizuki-Trooshin's method, we have shown that some information of eigenfunctions at some interior point and parts of two spectra can uniquely determine the potential function q(x) and the boundary conditions.

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

Computational Methods for Differential Equations MATHEMATICS, APPLIED-

CiteScore

2.20

自引率

27.30%

发文量

审稿时长

4 weeks