| 第二类四阶变分不等式解的存在唯一性 |
| |
| 引用本文： | 崔玉环,陈一鸣,曾凤霞,李绕.第二类四阶变分不等式解的存在唯一性[J].数学理论与应用,2008,28(1):55-59. |
| |
| 作者姓名： | 崔玉环 陈一鸣 曾凤霞 李绕 |
| |
| 作者单位： | 燕山大学理学院，燕山大学理学院，燕山大学理学院，燕山大学理学院 秦皇岛，066004，秦皇岛，066004，秦皇岛，066004，秦皇岛，066004 |
| |
| 基金项目： | 河北省自然科学基金（E2007000381）资助 |
| |
| 摘 要： | 本文考虑弹性力学平板理论中的单侧稳定问题,讨论了重调和方程边值问题及第二类四阶变分不等式,并证明它们的等价性,从而可以把高阶偏微分方程转化为相应的变分不等式加以解决,同时也为求解重调和方程提供了更多的方法和理论依据。并且最后给出了该类变分不等式解的存在唯一性的证明。
|
| 关 键 词： | 第二类四阶变分不等式 重调和方程 边值问题 存在唯一性 |
The Existence and Uniqueness of the Solution for the Fourth-order Variational Inequality of the Second Kind |
| |
| Cui Yuhuan Chen Yiming Zeng Fengxia Li Rao.The Existence and Uniqueness of the Solution for the Fourth-order Variational Inequality of the Second Kind[J].Mathematical Theory and Applications,2008,28(1):55-59. |
| |
| Authors: | Cui Yuhuan Chen Yiming Zeng Fengxia Li Rao |
| |
| Institution: | Cui Yuhuan Chen Yiming Zeng Fengxia Li Rao (College of Science, Yanshan University, 066004) |
| |
| Abstract: | A four-order variational inequality of the second kind,deduced from pl ate bending problems with friction term,is considered and the boundary value pro blem of biharmonic equation is discussed and their equality is proved.So the hig h-order partial differential equation can be solved by the corresponding variat i onal inequality.Also these works provide more methods and the theoretical basis for solving biharmonic equation.At last,the existence and uniqueness of the solu tion for the variational inequality of this kind is proved. |
| |
| Keywords: | the fourth-order variational inequality of the second kind bih amonic equation boundary value problem the existence and uniqueness |
| 本文献已被 CNKI 维普 等数据库收录！ |
