| 具连续变量的高阶非线性变时滞差分方程的正解 |
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| 引用本文： | 杨甲山,刘兴元.具连续变量的高阶非线性变时滞差分方程的正解[J].吉首大学学报(自然科学版),2013,34(3):1-6. |
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| 作者姓名： | 杨甲山 刘兴元 |
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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： | Supported by Natural Science Foundation of Hunan Province(12JJ6006);Hunan Province Science and Technology Project(2012FJ3107) |
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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差分方程，利用Banach空间的不动点原理和一些分析技巧，得到了这类方程存在最终正解的几个新的充分条件，同时给出实例验证其有效性.
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| 关 键 词： | 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 |
Positive Solution for Nonlinear Higher-Order Neutral Variable Delay Difference Equations with Continuous Arguments |
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| YANG Jia-shan,LIU Xing-yuan.Positive Solution for Nonlinear Higher-Order Neutral Variable Delay Difference Equations with Continuous Arguments[J].Journal of Jishou University(Natural Science Edition),2013,34(3):1-6. |
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| Authors: | YANG Jia-shan LIU Xing-yuan |
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| Institution: | (Department of Science and Information,Shaoyang University,Shaoyang 422004,Hunan China) |
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| Abstract: | Positive solution for a class of nonlinear higher-order neutral variable delay difference equations with continuous arguments is studied.Using the fixed point theorem in Banach space and a lot of inequality techniques,some sufficient conditions for the existence of eventually positive solution for the equations are obtained.The examples are presented to illustrate the effects of our theorems. |
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| Keywords: | eventually positive solution continuous arguments nonlinear neutral delay difference equation fixed point theorem |
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