Exponential decay estimates for time-delayed Benjamin–Bona–Mahony equations

Abstract

In this article, we consider Benjamin–Bona–Mahony equation with a time delay. By using the Liapunov function method, we show that the time-delayed Benjamin–Bona–Mahony equation is exponentially decay if the delay parameter is sufficiently small.

Keywords:

• Benjamin–Bona–Mahony equation
• time-delay
• exponential decay
• Liapunov function

AMS 2000 Subject Classification:

• 35R10
• 35B35
• 35Q53