Asymptotic behavior of solutions for the time-delayed equations of Benjamin-Bona-Mahony's type

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• 作者：Feng Wei ; Pu Zhilin ; Zhu Chaosheng
• 关键词：Benjamin ; Bona ; Mahony equation ; time delay ; exponential decay ; Liapunov function
• 刊名：Boundary Value Problems
• 出版年：2015
• 出版时间：December 2015
• 年：2015
• 卷：2015
• 期：1
• 全文大小：1,352 KB
• 刊物主题：Difference and Functional Equations; Ordinary Differential Equations; Partial Differential Equations; Analysis; Approximations and Expansions; Mathematics, general;
• 出版者：Springer International Publishing
• ISSN：1687-2770

文摘

In this paper, we investigate the asymptotic behavior of the solutions for the equations of Benjamin-Bona-Mahony’s type with a time delay. We prove the global existence of solutions and energy decay. By using the Liapunov function method, we shall show that the solution is exponentially decay if the delay parameter τ is sufficiently small.