| 一阶RFDE振动性比较定理 |
| |
| 引用本文： | 柳苗,秦宏立.一阶RFDE振动性比较定理[J].延安大学学报(自然科学版),2013(3):10-12. |
| |
| 作者姓名： | 柳苗 秦宏立 |
| |
| 作者单位： | 延安大学数学与计算机科学学院,陕西延安716000 |
| |
| 摘 要： | 运用压缩映射原理和Lebesgue控制收敛定理,通过构造函数序列的方法讨论了一阶滞后型泛函微分方程振动性的比较定理,并应用这个比较定理给出了保证此类方程一切解振动性的充分性条件。
|
| 关 键 词： | 滞后型 泛函微分方程 振动性 比较定理 |
On the Comparison Theorem for First Order Functional Differential Equation Oscillation |
| |
| LIU MIAO,QIN Hong-li.On the Comparison Theorem for First Order Functional Differential Equation Oscillation[J].Journal of Yan'an University(Natural Science Edition),2013(3):10-12. |
| |
| Authors: | LIU MIAO QIN Hong-li |
| |
| Institution: | (College of Mathematics and Computer Science ,Yanan University ,Yanan 716000, China) |
| |
| Abstract: | By using the contraction mapping principle and Lebesgue control convergence theorem, the methods of constructor sequence is discussed on the comprarison theorem for first order lag type oscillation of functional differ- ential equations. And the application of this theorem is proposed to ensure the oscillation of all solutions of such e- quations of sufficient conditions. |
| |
| Keywords: | retarded functional differential equation oscillation comparison theorem |
| 本文献已被 CNKI 维普 等数据库收录！ |
