| 奇阶混合型微分方程的振动性 |
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| 引用本文： | 韩忠月,吴玉杰.奇阶混合型微分方程的振动性[J].数学的实践与认识,2009,39(11). |
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| 作者姓名： | 韩忠月 吴玉杰 |
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| 作者单位： | 德州学院,数学系,山东,德州,253023 |
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| 摘 要： | 研究奇数阶混合中立型微分方程x(t)+ax(t-τ)-bx(t+σ)](n)+δ(qx(t-g)+px(t+h))=0其中a,b,q,p,τ,σ,g,h为正常数,δ=±1,n为奇数.得到方程若干新的振动定理,改进和推广了文1]中的结果.
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| 关 键 词： | 混合中立型微分方程 奇数阶微分不等式 振动准则 |
Oscillations of Odd Order Mixed Type Differential Equations |
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| HAN Zhong-yue,WU Yu-jie.Oscillations of Odd Order Mixed Type Differential Equations[J].Mathematics in Practice and Theory,2009,39(11). |
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| Authors: | HAN Zhong-yue WU Yu-jie |
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| Abstract: | We shall consider a class of odd order mixed neutral differential equations:x(t)+ax(t-τ)-bx(t+σ)](n)+δ(qx(t-g)+px(t+h))=0where a,b,q,p,τ,σ,g,h are positive constant numbers, δ=±1,n≥1 is odd integer number. Some new oscillations criteria of the solutions are obtained. This obtained result generalizes and improves some results of 1]. |
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| Keywords: | mixed neutral type differential equations the odd order differential inequality oscillation criteria |
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