离散sturm-liouville算子的一些谱性质

Ayşe Çiğdem Yar, E. Yilmaz, Tuba Gulsen
{"title":"离散sturm-liouville算子的一些谱性质","authors":"Ayşe Çiğdem Yar, E. Yilmaz, Tuba Gulsen","doi":"10.33401/fujma.1242330","DOIUrl":null,"url":null,"abstract":"Time scale theory helps us to combine differential equations with \ndifference equations. Especially in models such as biology, medicine and economics, \nsince the independent variable is handled discrete, it requires us to \nanalyze in discrete clusters. In these cases, the difference equations defined \nin Z are considered. Boundary value problems (BVP’s) are used to solve and \nmodel problems in many physical area. In this study, we examined spectral \nfeatures of discrete Sturm-Liouville problem. We have given some examples \nto make subject understandable.","PeriodicalId":199091,"journal":{"name":"Fundamental Journal of Mathematics and Applications","volume":"30 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2023-03-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"ON SOME SPECTRAL PROPERTIES OF DISCRETE STURM-LIOUVILLE OPERATOR\",\"authors\":\"Ayşe Çiğdem Yar, E. Yilmaz, Tuba Gulsen\",\"doi\":\"10.33401/fujma.1242330\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Time scale theory helps us to combine differential equations with \\ndifference equations. Especially in models such as biology, medicine and economics, \\nsince the independent variable is handled discrete, it requires us to \\nanalyze in discrete clusters. In these cases, the difference equations defined \\nin Z are considered. Boundary value problems (BVP’s) are used to solve and \\nmodel problems in many physical area. In this study, we examined spectral \\nfeatures of discrete Sturm-Liouville problem. We have given some examples \\nto make subject understandable.\",\"PeriodicalId\":199091,\"journal\":{\"name\":\"Fundamental Journal of Mathematics and Applications\",\"volume\":\"30 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2023-03-24\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Fundamental Journal of Mathematics and Applications\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.33401/fujma.1242330\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Fundamental Journal of Mathematics and Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.33401/fujma.1242330","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0

摘要

时间尺度理论帮助我们把微分方程和差分方程结合起来。特别是在生物学、医学和经济学等模型中,由于自变量是离散处理的,这就要求我们在离散聚类中进行分析。在这些情况下,考虑用Z定义的差分方程。边值问题用于求解和模拟许多物理领域的问题。本文研究了离散Sturm-Liouville问题的谱特征。我们举了一些例子,使这门课更容易理解。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
ON SOME SPECTRAL PROPERTIES OF DISCRETE STURM-LIOUVILLE OPERATOR
Time scale theory helps us to combine differential equations with difference equations. Especially in models such as biology, medicine and economics, since the independent variable is handled discrete, it requires us to analyze in discrete clusters. In these cases, the difference equations defined in Z are considered. Boundary value problems (BVP’s) are used to solve and model problems in many physical area. In this study, we examined spectral features of discrete Sturm-Liouville problem. We have given some examples to make subject understandable.
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
自引率
0.00%
发文量
0
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
确定
请完成安全验证×
copy
已复制链接
快去分享给好友吧!
我知道了
右上角分享
点击右上角分享
0
联系我们:info@booksci.cn Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术官方微信