| 具正负系数的二阶差分方程的振动性 |
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| 引用本文： | 杨甲山,孙文兵.具正负系数的二阶差分方程的振动性[J].山东大学学报(理学版),2011,46(8):59-62,67. |
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| 作者姓名： | 杨甲山 孙文兵 |
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| 作者单位： | 邵阳学院理学与信息科学系,湖南邵阳,422004 |
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| 基金项目： | 湖南省教育厅科研重点资助项目(09A082) |
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| 摘 要： | 研究了一类具有正负系数的二阶非线性中立型变时滞差分方程的振动性。利用Banach空间的不动点原理，引入参数函数和Riccati变换，获得了该类方程存在非振动解的新准则，同时得到了该类方程振动的判别准则，这些准则改善了方程的条件限制，所得结论推广并改进了现有文献中的结果。
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| 关 键 词： | 正负系数 中立型差分方程 变时滞 非线性 振动和非振动 Riccati变换 |
Oscillation of second order difference equations with positive and negative coefficients |
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| YANG Jia-shan,SUN Wen-bing.Oscillation of second order difference equations with positive and negative coefficients[J].Journal of Shandong University,2011,46(8):59-62,67. |
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| Authors: | YANG Jia-shan SUN Wen-bing |
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| Institution: | YANG Jia-shan,SUN Wen-bing(Department of Science and Information,Shaoyang University,Shaoyang 422004,Hunan,China) |
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| Abstract: | The oscillation of a class of second order nonlinear neutral variable delay difference equations with positive and negative coefficients is discussed.Using the fixed point theorem in Banach space,new nonoscillation criteria for the equation are obtained by introducing parameter function and the generalized Riccati transformation.Also,a sufficient condition for oscillation of the equation is proposed.These criteria can improve the restriction of the conditions for the equation,which promote some existing res... |
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| Keywords: | positive and negative coefficient neutral difference equation variable delay nonlinear oscillation and nonoscillation Riccati transformation |
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