@Article{JPDE-29-22,
author = {Wu , Shun Tang},
title = {Asymptotic Behavior for a Viscoelastic Wave Equation with a Time-varying Delay Term},
journal = {Journal of Partial Differential Equations},
year = {2016},
volume = {29},
number = {1},
pages = {22--35},
abstract = { The following viscoelastic wave equation with a time-varying delay term in internal feedback $|u_t|^ρu_{tt}-Δu-Δu_{tt}+∫^t_0g(t-s)Δu(s)ds+μ_1u_t(x,t)+μ_2u_t(x,t-τ(t))=0$, is considered in a bounded domain. Under appropriate conditions on μ_1, μ_2 and on the kernel g, we establish the general decay result for the energy by suitable Lyapunov functionals.},
issn = {2079-732X},
doi = {https://doi.org/10.4208/jpde.v29.n1.3},
url = {http://global-sci.org/intro/article_detail/jpde/5076.html}
}