| 一类二阶非线性泛函微分方程的振动性 |
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| 引用本文： | 柴益琴,侯亚红. 一类二阶非线性泛函微分方程的振动性[J]. 太原理工大学学报, 2007, 38(6): 562-563,566 |
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| 作者姓名： | 柴益琴 侯亚红 |
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| 作者单位： | 太原理工大学,财经学院,山西,太原,030024 |
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| 摘 要： | 在二阶泛函微分方程振动理论研究成果的基础上,利用Riccati变换、微分与积分、不等式的放大与缩小等方法,讨论了更一般的一类二阶非线性泛函微分方程的振动性,得到了该类方程所有解振动的新的充分条件,改进了已有文献中的某些条件,推广了文献中的一些已知的结果。
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| 关 键 词： | 二阶泛函微分方程 振动性 非线性 |
| 文章编号： | 1007-9432（2007）06-0562-02 |
| 修稿时间： | 2006-02-21 |
Oscillation for a Class of Nonlinear Second Order Functional Differential Equations |
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| CHAI Yi-qin,HOU Ya-hong. Oscillation for a Class of Nonlinear Second Order Functional Differential Equations[J]. Journal of Taiyuan University of Technology, 2007, 38(6): 562-563,566 |
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| Authors: | CHAI Yi-qin HOU Ya-hong |
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| Affiliation: | College of Finance and Taxation of TUT, Taiyuan 030024,China |
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| Abstract: | Oscillatory theory of solutions for a class of second-order nonlinear functional differential equation has been widely studied and has obtained great positive results. On these bases, by using the methods of Riccati change, the technique which involves the avweragal behavior of integral,originates and neqequation etc. ,the oscillation of a class of second-order nonlinear functional differential equation is discussed. A new sufficient condition for oscillation of all solutions of the equation is obtained and some existent results are extended and improved. |
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| Keywords: | second order functional differential equation oscillation nonlinear |
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