| 一阶中立型时滞微分方程的振动性 |
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| 引用本文： | 张颖,赵爱民.一阶中立型时滞微分方程的振动性[J].数学的实践与认识,2008,38(16). |
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| 作者姓名： | 张颖 赵爱民 |
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| 作者单位： | 1. 吕梁高等专科学校数学系,山西,吕粱,033000
2. 山西大学数学科学学院,山西,太原,030006 |
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| 摘 要： | 通过构造适当的变换及有效函数,研究了一阶中立型时滞微分方程x(t)-c(t)x(t-r)]′+p(t)f(x(t-τ))+∑ni=1qi(t)}f(x(t-σi))=0的振动性,获得了此方程所有解振动的n族充分条件.
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| 关 键 词： | 中立型时滞微分方程 振动 最终正解 |
Oscillatory for First Order Neutral Delay Differential Equations |
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| ZHANG Ying,ZHAO Ai-min.Oscillatory for First Order Neutral Delay Differential Equations[J].Mathematics in Practice and Theory,2008,38(16). |
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| Authors: | ZHANG Ying ZHAO Ai-min |
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| Abstract: | We consider the first order neutral delay differential equationx(t)-c(t)x(t-r)]′+p(t)f(x(t-τ))+∑ni=1qi(t)f(x(t-σi))=0,and obtain the sufficient conditions that all solutions of the equation are oscillatory. |
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| Keywords: | first order neutral delay differential equation oscillation eventually positive solution |
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