{"title":"多偏差三阶非线性向量微分方程的有界性与稳定性","authors":"Lynda D. Oudjedi, Moussadek Remili","doi":"10.1016/j.jaubas.2017.05.004","DOIUrl":null,"url":null,"abstract":"<div><p>In this paper, we shall establish sufficient conditions for the uniform asymptotic stability and boundedness of solutions of a certain third order vector nonlinear non-autonomous differential equation with multiple deviating arguments, by using a Lyapunov function as basic tool. In doing so we extend some existing results. Example is given to illustrate our results.</p></div>","PeriodicalId":17232,"journal":{"name":"Journal of the Association of Arab Universities for Basic and Applied Sciences","volume":"24 ","pages":"Pages 176-183"},"PeriodicalIF":0.0000,"publicationDate":"2017-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/j.jaubas.2017.05.004","citationCount":"2","resultStr":"{\"title\":\"Boundedness and stability in third order nonlinear vector differential equations with multiple deviating arguments\",\"authors\":\"Lynda D. Oudjedi, Moussadek Remili\",\"doi\":\"10.1016/j.jaubas.2017.05.004\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>In this paper, we shall establish sufficient conditions for the uniform asymptotic stability and boundedness of solutions of a certain third order vector nonlinear non-autonomous differential equation with multiple deviating arguments, by using a Lyapunov function as basic tool. In doing so we extend some existing results. Example is given to illustrate our results.</p></div>\",\"PeriodicalId\":17232,\"journal\":{\"name\":\"Journal of the Association of Arab Universities for Basic and Applied Sciences\",\"volume\":\"24 \",\"pages\":\"Pages 176-183\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2017-10-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1016/j.jaubas.2017.05.004\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of the Association of Arab Universities for Basic and Applied Sciences\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S1815385217300354\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of the Association of Arab Universities for Basic and Applied Sciences","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S1815385217300354","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Boundedness and stability in third order nonlinear vector differential equations with multiple deviating arguments
In this paper, we shall establish sufficient conditions for the uniform asymptotic stability and boundedness of solutions of a certain third order vector nonlinear non-autonomous differential equation with multiple deviating arguments, by using a Lyapunov function as basic tool. In doing so we extend some existing results. Example is given to illustrate our results.
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