| 带最大值项的二阶非线性差分方程的振动性定理 |
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| 引用本文： | 杨甲山,李继猛. 带最大值项的二阶非线性差分方程的振动性定理[J]. 安徽大学学报(自然科学版), 2012, 36(3): 19-22 |
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| 作者姓名： | 杨甲山 李继猛 |
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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： | 国家自然科学基金资助项目，湖南省教育厅自然科学基金重点资助项目 |
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| 摘 要： | 研究一类带有最大值项的二阶非线性中立型时滞差分方程的振动性,利用Banach空间的不动点原理和一些分析技巧,得到这类方程存在最终正解及方程振动的充分条件.
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| 关 键 词： | 最大值项 振动性 不动点原理 最终正解 |
Oscillation theorems of second order nonlinear difference equations with maxima |
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| YANG Jia-shan , LI Ji-meng. Oscillation theorems of second order nonlinear difference equations with maxima[J]. Journal of Anhui University(Natural Sciences), 2012, 36(3): 19-22 |
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| Authors: | YANG Jia-shan LI Ji-meng |
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| Affiliation: | (Department of Science and Information,Shaoyang University,Shaoyang 422004,China) |
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| Abstract: | In the paper,the oscillation of a class of second order nonlinear neutral delay difference equations with "maxima" was discussed.Using the fixed point theorem in Banach space and some necessary techniques,some sufficient conditions for the existence of eventually positive solution to the equations were obtained.Moreover,some sufficient conditions for oscillation of the equations were given. |
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| Keywords: | maxima oscillation fixed point theorem eventually positive solution |
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