| 高阶非线性时滞中立型微分方程解的渐近性态 |
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| 引用本文： | 邵国年,顾振达.高阶非线性时滞中立型微分方程解的渐近性态[J].上海交通大学学报,1993,27(3):72-79. |
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| 作者姓名： | 邵国年 顾振达 |
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| 作者单位： | 上海交通大学应用数学系，上海交通大学应用数学系，上海交通大学应用数学系 |
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| 摘 要： | 本文研究一类高阶非线性时滞中立型微分方程的解的渐近性态,给出了该方程的解是振动的,或者趋于零,或者趋于无穷的条件.并推广了J.R.Graef等的工作.
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| 关 键 词： | 时滞 中立型 正解 振动 微分方程 |
Asymptotic Behavior of Solutions to Higher Order Nonlinear Neutral Delay Differential Equation |
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| Shao Guonian,Gu Zhenda,Zhang Yangwen.Asymptotic Behavior of Solutions to Higher Order Nonlinear Neutral Delay Differential Equation[J].Journal of Shanghai Jiaotong University,1993,27(3):72-79. |
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| Authors: | Shao Guonian Gu Zhenda Zhang Yangwen |
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| Institution: | Shao Guonian;Gu Zhenda;Zhang Yangwen |
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| Abstract: | This paper studies the asymptotic behavior of the solutions to a higher order nonlinear neutral delay differential equation. Some conditions are precented under which every solution of the equation is oscillatory, either tending to zero or tending to infinity as t tends to infinity. In some sense, the results are an extension of those obtained by John. R. Graef et al. |
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| Keywords: | delay neutral positive solution oscillatory |
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