| 二阶非线性中立型时滞微分方程的振动准则 |
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| 引用本文： | 何宏庆,仉志余.二阶非线性中立型时滞微分方程的振动准则[J].数学的实践与认识,2007,37(23):130-134. |
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| 作者姓名： | 何宏庆 仉志余 |
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| 作者单位： | 1. 中北大学,数学系,山西,太原,030051
2. 太原工业学院,数学系,山西,太原,030008 |
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| 基金项目： | 国家自然科学基金;山西省自然科学基金 |
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| 摘 要： | 文章考虑二阶非线性中立型微分方程a(t)x(t)+∑li=1ci(t)x(t-τi(t))″+∑mi=1pi(t)fi(x(t-δi(t)))-∑ni=1qi(t)gi(x(t-σi(t)))=0的振动性,获得了该方程所有解振动的充分条件,推广了有关文献的结果.
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| 关 键 词： | 振动准则 中立型微分方程 时滞 |
| 修稿时间： | 2007年4月3日 |
Oscillation Criteria for the Second-order Nonlinear Neutral Delay Differential Equations |
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| HE Hong-qing,ZHANG Zhi-yu.Oscillation Criteria for the Second-order Nonlinear Neutral Delay Differential Equations[J].Mathematics in Practice and Theory,2007,37(23):130-134. |
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| Authors: | HE Hong-qing ZHANG Zhi-yu |
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| Abstract: | Some oscillation criteria for the second order nonlinear neutral delay differential equationsa(t)x(t)+∑li=1ci(t)x(t-τi(t))]″+∑mi=1pi(t)fi(x(t-δi(t))) -∑ni=1qi(t)gi(x(t-σi(t)))=0,t>0.(E)are established in this paper.we give sufficient conditions for the oscillation of all soiutions.And the results of some references have been extended. |
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| Keywords: | oscillation criteria neutral differential equations delay |
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