| 一类二阶非线性微分方程的振动性 |
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| 引用本文： | 胡迎春.一类二阶非线性微分方程的振动性[J].济宁师范专科学校学报,2014(3):66-68,71. |
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| 作者姓名： | 胡迎春 |
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| 作者单位： | 济宁学院初等教育学院,山东曲阜273100 |
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| 摘 要： | 利用函数类、算子方法和广义Riccati变换研究了二阶非线性微分方程(r(t)y'(t))'+Q(t,y(t),y'(t))=0,t≥t0的振动性,给出了Kamenev型振动准则,改进和推广了现有的若干结论.
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| 关 键 词： | 非线性微分方程 振动性 Kamenev型振动准则 算子方法 |
Oscillation Criteria for Second Order Nonlinear Differential Equations |
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| HU Yingchun.Oscillation Criteria for Second Order Nonlinear Differential Equations[J].Journal of Jining Teachers College,2014(3):66-68,71. |
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| Authors: | HU Yingchun |
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| Institution: | HU Yingchun (The Elementary Education College of Jining University,Qufu 273100,China) |
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| Abstract: | This paper mainly studies the oscillation of second order nonlinear differential equation 0（r（t）y′（t））′＋Q（t,y（t）,y′（t））=0,t≥tby applying the function class, operator method and generalized Riccati transformation, we gives Kamenev-type oscillation criteria. The obtained results extend and improve the existing results. |
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| Keywords: | nonlinear differential equations oscillation Kamenev-type oscillation criteria operator method |
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