| 具变号系数的四阶非线性时滞微分方程的振动性 |
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| 引用本文： | 郭芳,朱红霞,韩效宥.具变号系数的四阶非线性时滞微分方程的振动性[J].北方工业大学学报,2009,21(3):37-40,50. |
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| 作者姓名： | 郭芳 朱红霞 韩效宥 |
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| 作者单位： | 山西大同大学数计学院,037009,山西;河北廊坊师范学院数学与信息科学学院,065000,河北;北方工业大学理学院,100144,北京 |
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| 摘 要： | 在p（t）变号情况下,对四阶非线性时滞微分方程x（4）（t）＋p（t）f（x（t-τ））=0的振动性进行了研究,并得到方程振动的一个充分性定理.所得结论推广了当系数不变号时,四阶非线性时滞微分方程的振动性结论.
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| 关 键 词： | 非线性 系数变号 四阶微分方程 时滞 振动性 |
Oscillation of Four-order Nonlinear Delay Differential Equations with Variable Coefficient |
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| Guo Fang,Zhu Hongxia,Han Xiaoyou.Oscillation of Four-order Nonlinear Delay Differential Equations with Variable Coefficient[J].Journal of North China University of Technology,2009,21(3):37-40,50. |
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| Authors: | Guo Fang Zhu Hongxia Han Xiaoyou |
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| Affiliation: | Guo Fang Zhu Hongxia Han Xiaoyou (1) Department of Mathematics Computer, Shanxi Datong University, 037009, Shanxi, China ; 2) Department of Mathematics ＆ Information Science, Langfang Normal College, 065000, Hebei, China; 3)College of Science, North China Univ. of Tech. , 100144, Beijing, China) |
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| Abstract: | This paper studies the oscillation of a kind of four-order nonlinear delay differential equation x（4）（t）＋p（t）f（x（t-τ））=0 with variable coefficient p（t）.A sufficient condition for the oscillation is obtained.We generalize the results of four-order nonlinear delay differential equation with invariable coefficient. |
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| Keywords: | nonlinear variable coefficient four-order differential equation delay oscillation |
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