一类拟线性梁方程振动问题整体解的不存在性  

Global Nonexistence of Solutions of a Vibration Problem of Quasilinear Beam Equation

作　　者：杨静[1] 

机构地区：[1]长治学院师范分院数学系,山西长治046000

出　　处：《长治学院学报》2015年第5期58-60,共3页Journal of Changzhi University

摘　　要：文章讨论一类拟线性梁方程的振动问题,通过构造李雅谱诺夫函数,证明了当振动系统具有负初始能量而且非线性函数f(s)满足一定的条件时,该问题的解在有限时刻爆破.In this paper, we consider a vibrating problem of semilinear beam equation. By constructing suitable Lyapunov function and using differential inequalities, it is proved that under some conditions the solution with negative initial energy the global solution does not exist.

关 键 词：梁方程 能量法 整体不存在性 

分 类 号：O15[理学—数学]