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| 具有正负系数的中立型时滞微分方程的零点分布 | |
| 引用本文： | 单文锐,葛渭高,牛志蕾.具有正负系数的中立型时滞微分方程的零点分布[J].应用数学学报,2004,27(1):12-26. |
| 作者姓名： | 单文锐 葛渭高 牛志蕾 |
| 作者单位： | 1. 北京邮电大学理学院,北京,100876 2. 北京理工大学应用数学系,北京,100081 3. 北京林业大学基础科学与技术学院,北京,100083 |
| 基金项目： | 国家自然科学基金(19871005号)资助项目. |
| 摘 要： | 考虑具有正负系数的中立型时滞微分方程 x(t) C(t)x(t-γ))' P(t)x(t-(?))-Q(t)x(t-σ)=0,其中 .本文给出了上述方程的零点距估计和方程所有解都振动的充分条件,并对一些已有的零点距的估计结果作了改进. |
| 关 键 词： | 中立型时滞微分方程 零点分布 振动性 递推关系 |
DISTRIBUTION OF ZEROS OF SOLUTIONS OF FIRST ORDER NEUTRAL DIFFERENTIAL EQUATIONS WITH POSITIVE AND NEGATIVE COEFFICIENTS |
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| SHAN WENRUI.DISTRIBUTION OF ZEROS OF SOLUTIONS OF FIRST ORDER NEUTRAL DIFFERENTIAL EQUATIONS WITH POSITIVE AND NEGATIVE COEFFICIENTS[J].Acta Mathematicae Applicatae Sinica,2004,27(1):12-26. | |
| Authors: | SHAN WENRUI |
| Abstract: | Consider the neutral differential equation with positive and negative coefficients where . This paper gives some estimates of the distance between adjacent zeros of the solutions, and the sufficient conditions for oscillations of the all solutions of above equation; and improves the known results. |
| Keywords: | Neutral equation distribution of zeros oscillation |
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