| 一个偶数阶时滞微分方程的振动准则 |
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| 引用本文： | 武冬.一个偶数阶时滞微分方程的振动准则[J].中国海洋大学学报(自然科学版),1991(2). |
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| 作者姓名： | 武冬 |
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| 作者单位： | 青岛海洋大学应用数学系 |
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| 摘 要： | 讨论了一类偶数阶时滞微分方程x~(n)(t)+p(t)f(x(g(t)))=0的振动性。通过转化到一个一阶时滞微分不等式,得到了该方程的一切解振动的一个新的充分性条件。作为n=2的情况,它包含了魏俊杰最近的结果。
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| 关 键 词： | 时滞微分方程 振动性 微分不等式 |
AN OSCILLATION CRITERION FOR DELAY DIFFERENTIAL EQUATIONS OF EVEN ORDER |
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| Wu Dong.AN OSCILLATION CRITERION FOR DELAY DIFFERENTIAL EQUATIONS OF EVEN ORDER[J].Periodical of Ocean University of China,1991(2). |
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| Authors: | Wu Dong |
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| Institution: | Department of Applied Mathematics |
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| Abstract: | The aim of this paper is to study the oscillation of a class of delay differential equationsBy reducing (1) to a delay differential inequality we obtain some new sufficient conditions for the oscillation of all solutions of the above equations.As a special case,n=2,this paper includes the recent results by Wei Junjie. |
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| Keywords: | Delay differential equations oscillation differential inequalities |
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