| 一阶具分段常时滞中立型脉冲微分方程的振动性与渐近性(英文) |
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| 引用本文： | 林敏,胡玲.一阶具分段常时滞中立型脉冲微分方程的振动性与渐近性(英文)[J].怀化学院学报,2010,29(11). |
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| 作者姓名： | 林敏 胡玲 |
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| 基金项目： | 湖南第一师范学院科研课题，湖南省教育厅科学研究青年项目 |
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| 摘 要： | 考虑了一阶具有分段常数时滞与逐段常数变元的非线性中立型脉冲微分方程{x(t)-cx(t-t])]′-p(t)f(x(t]))=0,t0,t≠k,x(k)=bkx(k-),k=1,2,….解的振动性与渐近性.得到了上述方程所有非平凡解非振动与非振动解渐近性的充要条件,所得到的结果推广了一些已有的结果.
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| 关 键 词： | 渐近性 脉冲中立型微分方程 非振动解 分段常时滞 |
Oscillatory and Asymptotic Behavior of First Order Neutral Impulsive Differential Equation with Piecewise Constant Delay |
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| LIN Min,HU Ling.Oscillatory and Asymptotic Behavior of First Order Neutral Impulsive Differential Equation with Piecewise Constant Delay[J].Journal of Huaihua University,2010,29(11). |
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| Authors: | LIN Min HU Ling |
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| Abstract: | The oscillatory and asymptotic behavior of a class of first order nonlinear impulsive neutral differential equation with piecewise constant delay and with diverse deviating arguments {x(t)-cx(t-t])]′-p(t)f(x(t]))=0,t≥0,t≠k,x(k)=bkx(k-),k=1,2,….（*） are considered.Sufficient condition was obtained for all nontrivial solutions of(*)are nonoscillatory and for asymptotic behavior of nonoscillatory solution. |
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| Keywords: | asymptotic behavior impulsive neutral differential equation nonoscillatory solution piecewise constant delay |
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