| 一类非线性四阶波动方程的古典解 |
| |
| 引用本文： | 王祥.一类非线性四阶波动方程的古典解[J].雁北师范学院学报,2013(4):7-8,16. |
| |
| 作者姓名： | 王祥 |
| |
| 作者单位： | 忻州师范学院数学系,山西忻州034000 |
| |
| 基金项目： | 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。
|
| 关 键 词： | 非线性 古典解 Galerkin方法 |
Classical Solution of a Class of Four Order Nonlinear Wave Equation |
| |
| WANG Xiang.Classical Solution of a Class of Four Order Nonlinear Wave Equation[J].Journal of Yanbei Teachers College,2013(4):7-8,16. |
| |
| Authors: | WANG Xiang |
| |
| Institution: | WANG Xiang(Deportment of Mathematics,Xinzhou Teachers University,xinzhou Shanxi,034000) |
| |
| Abstract: | 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. |
| |
| Keywords: | nonlinear the classical solution the Faedo-Galerkin method |
| 本文献已被 维普 等数据库收录！ |
|
