| 一类泛函偏微分方程边值问题解的振动性 |
| |
| 引用本文： | 靳明忠,俞元洪.一类泛函偏微分方程边值问题解的振动性[J].云南工业大学学报,1993(1). |
| |
| 作者姓名： | 靳明忠 俞元洪 |
| |
| 作者单位： | 云南工学院基础部，中国科学院应用数学研究所 |
| |
| 摘 要： | 本文建立了一类带偏差变元的偏微分方程边值问题解的振动准则。我们利用相应的常微分不等式的振动性导出所考虑的边值问题解的振动性。主要工具是平均技巧,所得结果推广和改进了一些已知的结果,文中还给出了若干说明性的例子。
|
| 关 键 词： | 泛函偏微分方程 边值问题 振动准则 |
Oscillation Properties for Solutions of Boundary Value Problems for A Class of Functional Partial Differential Equations |
| |
| Authors: | Jin Mingzhong |
| |
| Abstract: | In this paper some oscillation criteria are established for solutions of boundary value problems of a class of partial differential equations with deviating arguments. The principal tool is an averaging technique which enables one to establish such oscillation properties in terms of related ordinary differential inequalities. The results obtained extend and improve some well known criteria. |
| |
| Keywords: | functional partial differential equations boundary value problem oscillation criteria |
| 本文献已被 CNKI 等数据库收录！ |
