一类非线性四阶波动方程的古典解  

Classical Solution of a Class of Four Order Nonlinear Wave Equation

作　　者：王祥[1] 

机构地区：[1]忻州师范学院数学系

出　　处：《山西大同大学学报（自然科学版）》2013年第4期7-8,16,共3页Journal of Shanxi Datong University(Natural Science Edition)

基　　金：忻州师范学院自然科学基金[201124]

摘　　要：研究了一类四阶非线性波动方程的初边值问题,利用Faedo-Galerkin方法和Gronwall引理,证明了该初边值问题古典解的存在性。In this paper we study a class of four order nonlinear wave equation with initial boundary value problem.By 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]