| 具有“积分小”系数的一阶非线性中立型微分方程的振动性 |
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| 引用本文： | 戴斌祥,钱祥征.具有“积分小”系数的一阶非线性中立型微分方程的振动性[J].湖南城市学院学报,1997(6). |
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| 作者姓名： | 戴斌祥 钱祥征 |
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| 作者单位： | 湖南大学应用数学系!长沙４１００８２ |
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| 摘 要： | 考虑一阶中立型微分方程［ｘ（ｔ）－Ｐ（ｔ）ｘ（ｔ－ｔ）］’＋Ｑ（ｔ）ｉ－ｌｓｉｇｎｘ（ｔ）＝０，本文得到了几个新的保证这个方程的所有解振动的充分条件、为获得这些结果而建立的几个引理的证明方法也是十分有趣的。我们的结果推广和改进了文献中的某些已知结果。
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| 关 键 词： | 中立型微分方程 振动性 “积分小”系数 |
OSCILLATION OF FIRST ORDER NONLINEAR NEUTRAL DIFFERENTIAL EQUATIONS WITH "INTEGRALLY SMALL"COEFFICIENTS |
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| Dai Binxiang, Qian XiangZheng.OSCILLATION OF FIRST ORDER NONLINEAR NEUTRAL DIFFERENTIAL EQUATIONS WITH "INTEGRALLY SMALL"COEFFICIENTS[J].Journal of Hunan City Univeristy,1997(6). |
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| Authors: | Dai Binxiang Qian XiangZheng |
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| Abstract: | we obtain several new sufficient conditions for the oscillation of all solutionsof the neutral equationx(t) --P(t)x(t-)]' Q(t)x(t-i)signx(t-)~0with a weaker assumption on Q(t) than the usual assumption Q(s)ds in the lit.erature. Our results extend and improve some of the known results in the literature. |
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| Keywords: | Neutral differential equation Qscillation "Integrally small"coefficient |
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