无界区间上Ulam意义下时滞微分方程的稳定性

IF 2.2 Q1 MATHEMATICS, APPLIED

International Journal of Optimization and Control: Theories and Applications Pub Date : 2019-03-13 DOI:10.11121/IJOCTA.01.2019.00628

Süleyman Öğrekçi

{"title":"无界区间上Ulam意义下时滞微分方程的稳定性","authors":"Süleyman Öğrekçi","doi":"10.11121/IJOCTA.01.2019.00628","DOIUrl":null,"url":null,"abstract":"In this paper, we consider the stability problem of delay differential equations in the sense of Hyers-Ulam-Rassias. Recently this problem has been solved for bounded intervals, our result extends and improve the literature by obtaining stability in unbounded intervals. An illustrative example is also given to compare these results and visualize the improvement.","PeriodicalId":37369,"journal":{"name":"International Journal of Optimization and Control: Theories and Applications","volume":"23 1","pages":""},"PeriodicalIF":2.2000,"publicationDate":"2019-03-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"13","resultStr":"{\"title\":\"Stability of delay differential equations in the sense of Ulam on unbounded intervals\",\"authors\":\"Süleyman Öğrekçi\",\"doi\":\"10.11121/IJOCTA.01.2019.00628\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we consider the stability problem of delay differential equations in the sense of Hyers-Ulam-Rassias. Recently this problem has been solved for bounded intervals, our result extends and improve the literature by obtaining stability in unbounded intervals. An illustrative example is also given to compare these results and visualize the improvement.\",\"PeriodicalId\":37369,\"journal\":{\"name\":\"International Journal of Optimization and Control: Theories and Applications\",\"volume\":\"23 1\",\"pages\":\"\"},\"PeriodicalIF\":2.2000,\"publicationDate\":\"2019-03-13\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"13\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"International Journal of Optimization and Control: Theories and Applications\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.11121/IJOCTA.01.2019.00628\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"MATHEMATICS, APPLIED\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Optimization and Control: Theories and Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.11121/IJOCTA.01.2019.00628","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}

引用次数: 13

摘要

本文研究了Hyers-Ulam-Rassias意义下的时滞微分方程的稳定性问题。最近这一问题在有界区间上得到了解决，我们的结果通过得到无界区间上的稳定性扩展和改进了文献。并给出了一个实例来比较这些结果和可视化的改进。

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

Stability of delay differential equations in the sense of Ulam on unbounded intervals

In this paper, we consider the stability problem of delay differential equations in the sense of Hyers-Ulam-Rassias. Recently this problem has been solved for bounded intervals, our result extends and improve the literature by obtaining stability in unbounded intervals. An illustrative example is also given to compare these results and visualize the improvement.

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

International Journal of Optimization and Control: Theories and Applications Mathematics-Applied Mathematics

CiteScore

3.30

自引率

6.20%

发文量

审稿时长

16 weeks