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| 摘要: |
| 利用广义Riccati技巧和平均方法讨论了一类二阶非线性泛函微分方程,得到此类方程所有解振动的新准则.其中,这些振动准则在一定程度上与以往的结果均不同,它们仅依赖于半直线[t0,∞)上的一列子区间的信息,而不是整条半直线[t0,∞).特别地,给出了大量的振动解存在性结论,同时能够解决已有的结果不能处理的问题. |
| 关键词: 二阶非线性泛函微分方程,振动,平均积分 |
| DOI： |
| 分类号:O175.29 |
| 基金项目:重庆市教育委员会科学技术研究项目(030705). |
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| Oscillation criteria for a class of second order functional differential equations with nonmonotonous nonlinearity |
|
YUAN De-mei
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| Abstract: |
| This paper discusses a class of second order nonlinear functional differential equations.By using the generalized Riccati technique and the averaging technique,new oscillation criteria are obtained for all solutions of the equation to be oscillatory.Some |
| Key words: second order nonlinear functional differential equation,oscillation,integral average |
