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

被引：2
|
作者：
Feng Wei [1 ]
Pu Zhilin [2 ]
Zhu Chaosheng [3 ]
机构：
[1] Neijiang Normal Univ, Coll Math & Informat Sci, Neijiang 641100, Sichuan, Peoples R China
[2] Sichuan Normal Univ, Coll Math & Software Sci, Chengdu 610066, Peoples R China
[3] Southwest Univ, Sch Math & Stat, Chongqing 400715, Peoples R China
来源：
BOUNDARY VALUE PROBLEMS | 2015年
基金：
中国国家自然科学基金;
关键词：
Benjamin-Bona-Mahony equation; time delay; exponential decay; Liapunov function; DECAY;
D O I：
10.1186/s13661-015-0388-3
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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 tau is sufficiently small.
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页数：9
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