{"title":"Uniform-ultimate boundedness of solutions to vector lienard equation with delay","authors":"Adetunji A. Adeyanju, Cemil Tunç","doi":"10.1007/s11565-022-00454-1","DOIUrl":null,"url":null,"abstract":"<div><p>We establish a set of conditions for the uniform-ultimate boundedness of solutions to a certain system of second order differential equations with variable delay using Lypunov–Krasovskii functional as a basic tool. This result is an addition to the body of literature in many ways. In addition, we provide an example to demonstrate the correctness of our result.</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"69 2","pages":"605 - 614"},"PeriodicalIF":0.0000,"publicationDate":"2022-11-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s11565-022-00454-1.pdf","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Annali dell''Universita di Ferrara","FirstCategoryId":"1085","ListUrlMain":"https://link.springer.com/article/10.1007/s11565-022-00454-1","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"Mathematics","Score":null,"Total":0}
引用次数: 0
Abstract
We establish a set of conditions for the uniform-ultimate boundedness of solutions to a certain system of second order differential equations with variable delay using Lypunov–Krasovskii functional as a basic tool. This result is an addition to the body of literature in many ways. In addition, we provide an example to demonstrate the correctness of our result.
期刊介绍：
Annali dell''Università di Ferrara is a general mathematical journal publishing high quality papers in all aspects of pure and applied mathematics. After a quick preliminary examination, potentially acceptable contributions will be judged by appropriate international referees. Original research papers are preferred, but well-written surveys on important subjects are also welcome.
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