Uniform attractors for the non-autonomous suspension bridge equation with time delay

被引：0
作者：
Su-ping Wang
Qiao-zhen Ma
机构：
[1] Northwest Normal University,College of Mathematics and Statistics
来源：
Journal of Inequalities and Applications | / 2019卷
关键词：
Non-autonomous suspension bridge equation; Uniformly asymptotically compact; Delay; Uniform attractor; 35B25; 37L30; 45K05;
D O I：
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学科分类号：
摘要：
In this paper, we investigate the existence of a uniform attractor for the non-autonomous suspension bridge equation with time delay by using the energy function and uniform asymptotic compactness of the process.
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  • [11] Ma Q.Z.(2015)A partially hinged rectangular plate as a model for suspension bridges Discrete Contin. Dyn. Syst. 35 18-34
  • [12] Wang S.P.(2014)Bending and stretching energies in a rectangular plate modeling suspension bridges Nonlinear Anal. 106 91-215
  • [13] Cheng X.B.(2016)Structural instability of nonlinear plates modeling suspension bridges: mathematical answers to some long-standing questions Nonlinear Anal., Real World Appl. 28 159-172
  • [14] Ma Q.Z.(2017)The global attractor for a suspension bridge with memory and partially hinged boundary conditions Z. Angew. Math. Mech. 97 600-603
  • [15] Wang B.L.(1980)Use of time delay action in the controller design IEEE Trans. Autom. Control 25 152-156
  • [16] Park J.Y.(1986)An example on the effect of time delays in boundary feedback stabilization of wave equations SIAM J. Control Optim. 24 1561-1585
  • [17] Kang J.R.(2006)Stability and instability results of the wave equation with a delay term in the boundary or internal feedbacks SIAM J. Control Optim. 45 770-785
  • [18] McKenna P.J.(2006)Stabilization of the wave system with input delay in the boundary control ESAIM Control Optim. Calc. Var. 12 2857-2869
  • [19] Tuama C.O.(2010)A stability result for a Timoshenko system with a delay term in the internal feedback Appl. Math. Comput. 217 1-12
  • [20] Arioli G.(2016)Well posedness and exponential stability in a wave equation with a strong damping and a strong delay J. Math. Phys. 57 808-824
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