TITLE:
Boundary Stabilization of a More General Kirchhoff-Type Beam Equation
AUTHORS:
Jianwen Zhang, Danxia Wang
KEYWORDS:
Kirchhoff-Type Beam; Non-Linear Boundary; Global Solutions; Exponential Decay
JOURNAL NAME:
International Journal of Modern Nonlinear Theory and Application,
Vol.1 No.3,
September
28,
2012
ABSTRACT: Simultaneously, considering the viscous effect of material, damping of medium, geometrical nonlinearity, physical nonlinearity, we set up a more general equation of beam subjected to axial force and external load. We prove the existence and uniqueness of global solutions under non-linear boundary conditions which the model is added one damping mechanism at l end. What is more, we also prove the exponential decay property of the energy of above mentioned system.