| 带强迫项的n阶脉冲微分方程的振动性与渐近性 |
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| 引用本文： | 叶国炳,申建华.带强迫项的n阶脉冲微分方程的振动性与渐近性[J].系统科学与数学,2010,30(4):501-514. |
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| 作者姓名： | 叶国炳 申建华 |
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| 作者单位： | 1. 湖南工业大学理学院,株洲,412008;湖南师范大学数学与计算机科学学院,长沙,410081
2. 杭州师范大学理学院,杭州,310036;湖南师范大学数学与计算机科学学院,长沙,410081 |
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| 摘 要： | 给出引理,解决了一类带强迫项的n阶脉冲微分方程的非振动解与其各阶导数的符号关系,得到其振动性与渐近性的判别准则,并举例说明准则的有效性.
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| 关 键 词： | 强迫项 脉冲 微分方程 振动性 渐近性. |
| 收稿时间： | 2007-12-27 |
| 修稿时间： | 2009-3-3 |
OSCILLATION AND ASYMPTOTIC PROPERTY OF nTH-ORDER IMPULSIVE DIFFERENTIAL EQUATIONS WITH FORCING TERM |
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| YE Guobing,SHEN Jianhua.OSCILLATION AND ASYMPTOTIC PROPERTY OF nTH-ORDER IMPULSIVE DIFFERENTIAL EQUATIONS WITH FORCING TERM[J].Journal of Systems Science and Mathematical Sciences,2010,30(4):501-514. |
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| Authors: | YE Guobing SHEN Jianhua |
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| Institution: | (1)College of Science, Hunan University of Technology, 412008;College of Mathematics and Computer Science, Hunan Normal University, 410081;(2)College of Science, Hangzhou Normal University,310036;College of Mathematics andComputer Science, Hunan Normal University, 410081 |
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| Abstract: | This paper presents a lemma to deal with the sign relation between the non-oscillatory solutions with their derived functions for a class of nth-order impulsive differential equations with forcing term. Some criterions about the oscillation and asymptotic property of the solutions to the equations are obtained.Finally two examples are given to illustrate the effectiveness of these criterions. |
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| Keywords: | Forcing term impulsive differential equation oscillation asymptotic property |
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