Existence and asymptotic stability of a viscoelastic wave equation with a delay |
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| Authors: | Mokhtar?Kirane Email author" target="_blank">Belkacem?Said-HouariEmail author |
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| Institution: | (1) Jiangsu Provincial Key Laboratory for Numerical Simulation of Large Scale Complex Systems, School of Mathematical Sciences, Nanjing Normal University, Nanjing, 210046, PR China;(2) Department of Mathematics, Anhui Science and Technology University, Feng Yang, 233100, Anhui, PR China |
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| Abstract: | In this paper, we consider the viscoelastic wave equation with a delay term in internal feedbacks; namely, we investigate
the following problem
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(x,t)- u(x,t)+_0^tg(t-s)u(x,s)ds+_1u_t(x,t)+_2 u_t(x,t-)=0u_{tt}(x,t)-\Delta u(x,t)+\int\limits_{0}^{t}g(t-s){\Delta}u(x,s){d}s+\mu_{1}u_{t}(x,t)+\mu_{2} u_{t}(x,t-\tau)=0 |
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