{"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}
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.
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.
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