| 一类自共轭非线性差分方程的振动性 |
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| 引用本文： | 杨红强.一类自共轭非线性差分方程的振动性[J].衡水学院学报,2006,8(1):4-5. |
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| 作者姓名： | 杨红强 |
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| 作者单位： | 衡水学院,数学与计算机科学系,河北,衡水,053000 |
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| 摘 要： | 自共轭差分方程的振动性的研究已经引起了人们的广泛关注,对于高阶自共轭差分方程的振动性已经有了最新成果,而非线性不稳定型差分方程的振动性还未发现有效的结论.通过讨论最终正解和最终负解的不存在性,来研究高阶自共轭非线性不稳定型差分方程振动的判断准则.
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| 关 键 词： | 自共轭差分方程 振动性 不稳定型 |
| 文章编号： | 1673-2065(2006)01-0004-02 |
| 收稿时间： | 10 20 2005 12:00AM |
| 修稿时间： | 2005年10月20 |
Oscillation of a Self-Conjugate Nonlinear Difference Equation |
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| YANG Hong-qiang.Oscillation of a Self-Conjugate Nonlinear Difference Equation[J].Journal of Hengshui University,2006,8(1):4-5. |
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| Authors: | YANG Hong-qiang |
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| Institution: | Mathematics and Computer Department,Hengshui University,Hengshui ,Hebei 053000 ,China |
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| Abstract: | The research of oscillation of the self-conjugate nonlinear difference equation has already aroused people's interest,and oscillation of the higher order has had the latest achievement,but there is not an effective conclusion of the oscillation of non-nonlinear unstable type.Through the discussion of the nonexistence of the final positive and negative solution,we have obtained the criterion of higher order self-conjugate non-linearity unstable difference equation. |
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| Keywords: | self-conjugate nonlinear differece equation unstability |
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