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Issue 5
Sep.  2012
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LU Jun, ZHANG Hong-wei. Energy decay estimation for the nonlinear viscoelastic equation with nonlinear second-order boundary damping[J]. Journal of East China Normal University (Natural Sciences), 2012, (5): 63-68.
Citation: LU Jun, ZHANG Hong-wei. Energy decay estimation for the nonlinear viscoelastic equation with nonlinear second-order boundary damping[J]. Journal of East China Normal University (Natural Sciences), 2012, (5): 63-68.

Energy decay estimation for the nonlinear viscoelastic equation with nonlinear second-order boundary damping

  • Received Date: 2011-11-01
  • Rev Recd Date: 2012-02-01
  • Publish Date: 2012-09-25
  • The exponential decay estimation of the energy for the nonlinear viscoelastic equation with general damped term was obtained by using Nakao's inequality, and the algebra decay estimation of the energy for the equation with polynomial damped term was given by the same inequality.
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  • [1]
    {1} ANDREWS K T, KUTTLER K L, SHILLOR M. Second order

    evolution equations with dynamic boundary conditions[J]. Journal of

    Mathematical Analysis and Applications, 1996, 197: 781-795.
    {2} KUTTLER K L. Velocity dependent boundary

    conditions for the displacement in one dimensional viscoelastic

    material[J]. Rocky Mountain J Math, 1994, 24: 579-613.
    {3} LEE H P. Vibration of an axially moving beam

    with a tip mass[J]. Mech Res Comm, 1993, 20: 391-397.
    {4} COUSIN A T,  FROTA C L, LAR'KIN N A. Regular

    solutions and energy decay for the equations of viscoelasticity with

    nonlinear damping on the boundary[J]. Journal of Mathematical

    Analysis and Applications, 1998, 224: 273-276.
    {5} LARKIN N A, NOVIKOV V A, YANENKO N N.

    Nonlnear Equations of Variable Type[M]. Norosibirsk: Nauka, 1983.
    {6} GREENBERG G M, LI T T. The effect of

    boundary damping for the wave equation[J]. J Differential Equations,

    1984, 52: 66-75.
    {7} 呼青英, 张宏伟. 混合Cable-Mass动力系统的一

    致稳定性[J]. 动力与控制学报, 2007, (5): 27-29.
    {8} HU Q Y, ZHU C K, ZHANG X Z. Energy decay

    estimates for an Euller-Bernoulli beam with a tip mass[J]. Ann Diff

    Eqs, 2009, 25(2): 161-164.
    {9} PELLICER M. Large time dynamics of a

    nonlinear spring-mass-damper model[J]. Nonlinear Analysis, 2008, 69:

    3110-3127.
    {10} LITTMAN W,  MARKUS L. Stabilization of

    a hybrid system of elasticity by feedback boundary damping[J]. Ann

    Mat Pura Appl, 1988, 152: 281-330.
    {11} AUTUORI G,  PUCCI P. Kirchhoff systems

    with dynamic boundary conditions[J]. Nonlinear Analysis, 2010, 73:

    1952-1965.
    {12}  GERBI S,  SAID-HOUARI B. Local existence

    and exponential growth for a semilinear damped wave equation with

    dynamic boundary conditions[J]. Advances in Differential Equations,

    2008, 13(11): 1051-1074.
    {13} GERBI S, SAID-HOUARI B. Asymptotic stability and blow up for a

    semilinear damped wave equation with dynamic boundary conditions[J].

    Nonlinear Analysis, 2011, 74: 7137-7150.
    {14} MASLOV V P, MOSOLOV P P. Nonilinear Wave Equation Perturbed

    by Viscousterms[M]. Berlin: Walter de Gruyter,  2000.
    {15} DORONIN G G,  LAR'KIN N A. SOUZA A J. A

    hyperbolic problem with nonlinear second order boundary damping[J].

    Electronic J Diff Equations, (28): 1-10.
    {16} DORONIN G G,  LAR'KIN N A. Global solvability

     for the quasilinear damped

    wave equation with nonlinear second order boundary condition[J].

    Nonlinear Analysis, 2002, 50: 1119-1134.
    {17} NAKAO M. Energy decay for the quasilinear

     wave equation with viscosity[J].

    Math Zeitscher, 1995, 219: 289-299.
    {18} LIONS J-L. MAGENES E. Problemes aux Limites Non

    Homogenes et Applications[M]. Paris:  Dunod,  1968.
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