受迫梁振动方程的初边值问题  

The Initial Boundary Value Problem of the Forced Beam Vibration Equation

作　　者：陈金梅[1] 王祥[1] 常玉楼[2] 

机构地区：[1]忻州师范学院 [2]忻州师范学院附属外国语中学

出　　处：《忻州师范学院学报》2012年第5期20-22,共3页Journal of Xinzhou Teachers University

基　　金：忻州师范学院自然科学基金资助项目(201124)

摘　　要：文章利用Faedo-Galerkin方法和Gronwall引理,研究了一类四阶非线性波动方程的初边值问题,证明了该初边值问题古典解的存在性。该结果为力学中梁的结构的稳定性提供了很好的数学依据。In this paper we study a class of four order nonlinear wave equation with initial boundary value problem.On the problem of weak solution has a series of research results,but on the problem of classical solutions has no results.In this paper,using the method of Faedo-Galerkin and Gronwall lemma,we proved that the existence of classical solutions of the initial boundary value problem.The results provided a good mathematical basis for the dynamics of beam structure stability.

关 键 词：非线性 古典解 GALERKIN方法 

分 类 号：O175.27[理学—数学]