Chinese Quarterly Journal of Mathematics ›› 2014, Vol. 29 ›› Issue (1): 151-158.doi: 10.13371/j.cnki.chin.q.j.m.2014.01.018

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On Uniform Decay of Solutions for Extensible Beam Equation with Strong Damping

  

  1. 1. College of Economic Mathematics, Southwestern University of Finance and Economics 2. College of Information Science and Technology, Donghua University 3. Department of Information and Arts Design, Henan Forestry Vocational College
  • Received:2013-06-15 Online:2014-03-30 Published:2023-02-14
  • About author:FENG Bao-wei(1985-), male, native of Shangqiu, Henan, a Ph.D. candidate of Donghua University, engages in nonlinear evolution equations and infinite-dimensional dynamical systems.
  • Supported by:
    Supported by the NNSF of China(11271066,11326158); Supported by the grant of Shanghai Education Commission(13ZZ048); Supported by the Doctoral Innovational Fund of Donghua University(BC201138)

Abstract: This paper investigates the existence and uniform decay of global solutions to the initial and boundary value problem with clamped boundary conditions for a nonlinear beam equation with a strong damping.

Key words: extensible beam equation, global existence, uniqueness, uniform decay

CLC Number: