Boundary Stabilization of a More General Kirchhoff-Type Beam Equation

• 作者: Danxia Wang Jianwen Zhang
• 来源期刊: 现代非线性理论与应用(英文)
• 学科: 数学
• 关键词: Kirchhoff-Type Beam NON-LINEAR Boundary Global Solutions EXPONENTIAL DECAY
• 年，卷（期）: 2012,（3）
• 页码范围: 97-101
• 页数: 5页
• 分类号: O1

摘要

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.