| 二阶非线性中立型微分方程解的振动准则 |
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| 引用本文： | 王其如.二阶非线性中立型微分方程解的振动准则[J].西华师范大学学报(哲学社会科学版),1993,14(3):269-273. |
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| 作者姓名： | 王其如 |
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| 作者单位： | 洛阳师专 河南 |
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| 基金项目： | 河南省高等学校青年科学基金资助课题. |
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| 摘 要： | 研究了一类具有变系数和变偏差的二阶非线性中立型微分方程,建立了方程所有解都振动的判别准则,并给出了方程的—切可微解的导数振动的充分判据,所得结果改进并推广了俞元洪,傅希林和张立琴等人的研究成果.
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| 关 键 词： | 非线性 中立型 微分方程 振动 |
OSCILLATION CRITERIA OF SOLUTIONS TO SECOND ORDER NONLINEAR NEUTRAL DIFFERENTIAL EQUATIONS |
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| Wang Qiru.OSCILLATION CRITERIA OF SOLUTIONS TO SECOND ORDER NONLINEAR NEUTRAL DIFFERENTIAL EQUATIONS[J].Journal of China West Normal University:Natural Science Edition,1993,14(3):269-273. |
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| Authors: | Wang Qiru |
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| Institution: | Luoyang Teachers College |
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| Abstract: | The paper studies a class of second order nonlinear neutral differential equations with vairable coefficients and variable beviations.Criteria for all solutions to be oscillatory are established and suf- ficient conditions are also given to ensure those derivatives of all differentiable solutions to oscillate.The re- sults have improved and popularized the achievements in their scientific research by Mr.Yu Yuanhong and etc. |
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| Keywords: | nonlinear neutral differential equation oscillation |
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