Decay rate estimates for a weak viscoelastic beam equation with time-varying delay

作者：Park Sun Hye^*

来源：Applied Mathematics Letters, 2014, 31: 46-51.

DOI：10.1016/j.aml.2014.02.005

• Beam equation
• Time-varying delay
• Weak viscoelasticity
• General decay rate

We consider a weak viscoelastic beam equation with internal time-varying delay %26lt;br%26gt;u(tt) + Delta(2)u - M(parallel to del u parallel to(2)) Delta u + sigma(t) integral(t)(0) g(t - s)Delta u(s)ds %26lt;br%26gt;+a(0)u(t) + a(1)u(t)(x, t -tau(t)) = 0. %26lt;br%26gt;By introducing suitable energy and Lyapunov functionals, we establish general decay estimates for the energy, which depends on the behavior of both sigma and g.

• 出版日期2014-4