Stability and boundedness in delay system of differential equations of third order

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• 作者：Cemil Tunc ^{cemtunc@yahoo.com}
• 关键词：Asymptotic stability ; Boundedness ; Lyapunov functional ; Delay ; Vector differential system ; Third order
• 刊名：Journal of the Association of Arab Universities for Basic and Applied Sciences
• 出版年：2017
• 出版时间：February 2017
• 年：2017
• 卷：22
• 期：Complete
• 页码：76-82
• 全文大小：400 K
• 卷排序：22

文摘

In this paper, a class of non-linear vector differential equations of third order with delay is considered. The stability, boundedness and ultimately boundedness of solutions are studied. The technique of proofs involves defining an appropriate Lyapunov functional. The obtained results include and improve the results in the literature.