| 高阶非线性差分方程正解的存在性与渐近性态 |
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| 引用本文： | 贺铁山.高阶非线性差分方程正解的存在性与渐近性态[J].南昌大学学报(理科版),2006,30(4):322-324. |
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| 作者姓名： | 贺铁山 |
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| 作者单位： | 仲恺农业技术学院,计算科学系,广东,广州,510225 |
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| 基金项目： | 广东省教育厅自然科学基金;仲恺农业技术学院校科研和教改项目 |
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| 摘 要： | 研究了一类高阶非线性中立型差分方程正解的存在性和渐近性.利用knaster不动点定理,获得了该类方程存在有界最终正解和渐近趋于零的有界最终正解的充分条件.
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| 关 键 词： | 高阶非线性差分方程 存在性 渐近性 最终正解 |
| 文章编号： | 1006-0464（2006）04-0322-03 |
| 收稿时间： | 2005-12-15 |
| 修稿时间： | 2005年12月15 |
Asymptotic Behavior and Existence of Positive Solutions for Higher Order Nonlinear Difference Equations |
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| HE Tie-shan.Asymptotic Behavior and Existence of Positive Solutions for Higher Order Nonlinear Difference Equations[J].Journal of Nanchang University(Natural Science),2006,30(4):322-324. |
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| Authors: | HE Tie-shan |
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| Institution: | Department of Computational Science, Zhongkai University of Agriculture and Technology, Guangzhou 510225, China |
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| Abstract: | This paper is concerned with the asymptotic behavior and existence of positive solutions for a class of higher order nonlinear neutral difference equation.By using the knaster fixed theorem,we obtain some sufficient conditions under which the equation has a bounded and eventually positive solution which tends to zero. |
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| Keywords: | higher order nonlinear difference equations existence asymptotic behavior eventually positive solution |
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