{"title":"时滞向量lienard方程解的等终有界性","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":"{\"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}","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}
Uniform-ultimate boundedness of solutions to vector lienard equation with delay
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.