Energy decay for viscoelastic plates with distributed delay and source term

被引：0
作者：
Muhammad I. Mustafa
Mohammad Kafini
机构：
[1] University of Sharjah,Department of Mathematics
[2] King Fahd University of Petroleum and Minerals,Department of Mathematics and Statistics
来源：
Zeitschrift für angewandte Mathematik und Physik | 2016年 / 67卷
关键词：
Plate equation; general decay; viscoelasticity; distributed delay; source term; 35B40; 74D99; 93D15; 93D20;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper we consider a viscoelastic plate equation with distributed delay and source term. Under suitable conditions on the delay and source term, we establish an explicit and general decay rate result without imposing restrictive assumptions on the behavior of the relaxation function at infinity. Our result allows a wider class of relaxation functions and improves earlier results in the literature.
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  • [11] Benaissa A.(2008)General decay of solutions of a viscoelastic equation J. Math. Anal. Appl. 341 1457-468
  • [12] Datko R.(2007)On the control of solutions of a viscoelastic equations J. Frankl. Inst. 334 765-87
  • [13] Lagnese J.(2009)A stability result in a memory-type Timoshenko system Dyn. Syst. Appl. 18 457-204
  • [14] Polis M.P.(1996)Decay rates for viscoelastic plates with memory J. Elast. 44 61-704
  • [15] Han X.(2006)On the decay of the energy for systems with memory and indefinite dissipation Asymptot. Anal. 49 189-9131
  • [16] Wang M.(2003)Asymptotic behavior of the energy for a class of weakly dissipative second-order systems with memory J. Math. Anal. Appl. 286 692-1585
  • [17] Kang J.R.(2012)Energy decay rates for a Timoshenko system with viscoelastic boundary conditions Appl. Math. Comput. 218 9125-958
  • [18] Komornik V.(2012)General stability result for viscoelastic wave equations J. Math. Phys. 53 053702-722
  • [19] Zuazua E.(2006)Stability and instability results of the wave equation with a delay term in the boundary or internal feedbacks SIAM J. Control Optim. 45 1561-496
  • [20] Lasiecka I.(2008)Stabilization of the wave equation with boundary or internal distributed delay Differ. Integral Equ. 21 935-undefined
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