Decay rate estimates for a weak viscoelastic beam equation with time-varying delay
نویسندگان
چکیده
منابع مشابه
General Decay Rate Estimate for the Energy of a Weak Viscoelastic Equation with an Internal Time-varying Delay Term
In this paper we consider the weak viscoelastic equation with an internal time-varying delay term u tt (x, t)−Δu(x, t)+α(t) t 0 g(t−s)Δu(x, s) ds+a 0 u t (x, t)+a 1 u t (x, t−τ (t)) = 0 in a bounded domain. By introducing suitable energy and Lyapunov functionals, under suitable assumptions, we establish a general decay rate estimate for the energy, which depends on the behavior of both α and g.
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ژورنال
عنوان ژورنال: Applied Mathematics Letters
سال: 2014
ISSN: 0893-9659
DOI: 10.1016/j.aml.2014.02.005