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

Boundary value problems

Feng Wei¹  Pu Zhilin²  Zhu Chaosheng³ 

[1] College of Mathematics and Information Science, Neijiang Normal University, Neijiang, China;College of Mathematics and Software Science, Sichuan Normal University, Chengdu, China;School of Mathematics and Statistics, Southwest University, Chongqing, China

关键词: Benjamin-Bona-Mahony equation;    time delay;    exponential decay;    Liapunov function;    35R10;    35B35;    35Q53;   

DOI  :  10.1186/s13661-015-0388-3

学科分类：数学（综合）

来源: SpringerOpen

【 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 τ is sufficiently small.

【 授权许可】

CC BY