Author(s)

Jianwen Zhang, Danxia Wang

Department of Mathematics, Taiyuan University of Technology, Taiyuan, China.

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.

Kirchhoff-Type Beam; Non-Linear Boundary; Global Solutions; Exponential Decay

Zhang, J. and Wang, D. (2012) Boundary Stabilization of a More General Kirchhoff-Type Beam Equation. International Journal of Modern Nonlinear Theory and Application, 1, 97-101. doi: 10.4236/ijmnta.2012.13014.