Article ID Journal Published Year Pages File Type
1707931 Applied Mathematics Letters 2014 6 Pages PDF
Abstract

We consider a weak viscoelastic beam equation with internal time-varying delay utt+Δ2u−M(‖∇u‖2)Δu+σ(t)∫0tg(t−s)Δu(s)ds+0ut+a1ut(x,t−τ(t))=0. By introducing suitable energy and Lyapunov functionals, we establish general decay estimates for the energy, which depends on the behavior of both σσ and gg.

Related Topics
Physical Sciences and Engineering Engineering Computational Mechanics
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