具有反周期边界条件的高阶非线性时标系统的李亚普诺夫型不等式

IF 2.4 3区数学 Q1 MATHEMATICS

Journal of Applied Mathematics and Computing Pub Date : 2024-08-27 DOI:10.1007/s12190-024-02221-1

Xin Wu, Taixiang Sun

{"title":"具有反周期边界条件的高阶非线性时标系统的李亚普诺夫型不等式","authors":"Xin Wu, Taixiang Sun","doi":"10.1007/s12190-024-02221-1","DOIUrl":null,"url":null,"abstract":"<p>In this paper, an anti-periodic boundary value problem for a class of higher order nonlinear time scale systems is studied. Based on the method of mathematical analysis and some inequality techniques, we construct a new Lyapunov-type inequality. Finally, we give some applications to illustrate the importance of our results.</p>","PeriodicalId":15034,"journal":{"name":"Journal of Applied Mathematics and Computing","volume":"2016 1","pages":""},"PeriodicalIF":2.4000,"publicationDate":"2024-08-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Lyapunov-type inequality for higher order nonlinear time scale systems with anti-periodic boundary conditions\",\"authors\":\"Xin Wu, Taixiang Sun\",\"doi\":\"10.1007/s12190-024-02221-1\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>In this paper, an anti-periodic boundary value problem for a class of higher order nonlinear time scale systems is studied. Based on the method of mathematical analysis and some inequality techniques, we construct a new Lyapunov-type inequality. Finally, we give some applications to illustrate the importance of our results.</p>\",\"PeriodicalId\":15034,\"journal\":{\"name\":\"Journal of Applied Mathematics and Computing\",\"volume\":\"2016 1\",\"pages\":\"\"},\"PeriodicalIF\":2.4000,\"publicationDate\":\"2024-08-27\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Applied Mathematics and Computing\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1007/s12190-024-02221-1\",\"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":"Journal of Applied Mathematics and Computing","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1007/s12190-024-02221-1","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

本文研究了一类高阶非线性时标系统的反周期边界值问题。基于数学分析方法和一些不等式技术，我们构建了一个新的 Lyapunov 型不等式。最后，我们给出了一些应用来说明我们结果的重要性。

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

Lyapunov-type inequality for higher order nonlinear time scale systems with anti-periodic boundary conditions

In this paper, an anti-periodic boundary value problem for a class of higher order nonlinear time scale systems is studied. Based on the method of mathematical analysis and some inequality techniques, we construct a new Lyapunov-type inequality. Finally, we give some applications to illustrate the importance of our 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

Journal of Applied Mathematics and Computing Mathematics-Computational Mathematics

CiteScore

4.20

自引率

4.50%

发文量

131

期刊介绍： JAMC is a broad based journal covering all branches of computational or applied mathematics with special encouragement to researchers in theoretical computer science and mathematical computing. Major areas, such as numerical analysis, discrete optimization, linear and nonlinear programming, theory of computation, control theory, theory of algorithms, computational logic, applied combinatorics, coding theory, cryptograhics, fuzzy theory with applications, differential equations with applications are all included. A large variety of scientific problems also necessarily involve Algebra, Analysis, Geometry, Probability and Statistics and so on. The journal welcomes research papers in all branches of mathematics which have some bearing on the application to scientific problems, including papers in the areas of Actuarial Science, Mathematical Biology, Mathematical Economics and Finance.