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Boundary Stabilization of a More General Kirchhoff-Type Beam Equation
Department of Mathematics, Taiyuan University of Technology, Taiyuan, China
Department of Mathematics, Taiyuan University of Technology, Taiyuan, China
- 1 Department of Mathematics, Taiyuan University of Technology, Taiyuan, China
- 2 Department of Mathematics, Taiyuan University of Technology, Taiyuan, China
International Journal of Modern Nonlinear Theory and Application·Volume 01 (2012)·Pages 97–101·Published 28 September 2012·DOI10.4236/ijmnta.2012.13014
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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.
KeywordsKirchhoff-Type BeamNon-Linear BoundaryGlobal SolutionsExponential Decay
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