| 具连续变量的高阶非线性时滞差分方程的正解存在性和振动性 |
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| 引用本文： | 杨甲山,王瑀.具连续变量的高阶非线性时滞差分方程的正解存在性和振动性[J].邵阳学院学报(自然科学版),2012,9(1):4-8. |
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| 作者姓名： | 杨甲山 王瑀 |
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| 作者单位： | 1. 邵阳学院理学与信息科学系,湖南邵阳,422004
2. 安徽大学数学科学学院,安徽合肥,230039 |
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| 基金项目： | 湖南省教育厅科研基金（10C1189） |
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| 摘 要： | 研究了一类具有连续变量的高阶非线性变时滞中立型泛函差分方程的振动性,利用Banach空间的不动点原理和一些分析技巧,得到了这类方程振动和非振动的几个充分条件,并给出了一些例子用以说明本文的主要结论.
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| 关 键 词： | 振动和非振动 最终正解 连续变量 非线性 中立型时滞差分方程 不动点原理 |
Existence of Positive Solutions and Oscillation for a Class of Higher Order Nonlinear Delay Difference Equations with Continuous Arguments |
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| YANG Jia-shan,WANG.Existence of Positive Solutions and Oscillation for a Class of Higher Order Nonlinear Delay Difference Equations with Continuous Arguments[J].Journal of Shaoyang University:Science and Technology,2012,9(1):4-8. |
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| Authors: | YANG Jia-shan WANG |
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| Institution: | 1.Department of Science and Information Science,Shaoyang University,Shaoyang,Hunan 422004,China;2.School of Mathematical Science,Anhui University,Hefei,Anhui 230039,Chian) |
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| Abstract: | The oscillation of a class of higher order nonlinear neutral variable delay difference equations with continuous arguments is discussed.Using the fixed point theorem in Banach space and some necessary techniques,some sufficient conditions for oscillation and nonoscillation of the equations were obtained.Some examples are given to illustrate the main results of this article. |
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| Keywords: | oscillation and nonoscillation eventually positive solution continuous arguments nonlinear neutral delay difference equation fixed point theorem |
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