| 偶数阶时滞差分方程和差分不等式正解的等价性 |
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| 引用本文： | 杨逢建. 偶数阶时滞差分方程和差分不等式正解的等价性[J]. 仲恺农业技术学院学报, 2003, 16(4): 12-16 |
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| 作者姓名： | 杨逢建 |
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| 作者单位： | 仲恺农业技术学院基础部,广东,广州,510225 |
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| 基金项目： | 广东省教育厅自然科学科研项目(Z03052)资助. |
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| 摘 要： | 利用Banach空间的Knaster不动点定理，证明了一类具有可变时滞的偶数阶非线性中立型差分方程最终正解的存在条件和与之相应的差分不等式最终正解的存在条件等价。
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| 关 键 词： | Banach空间 Knaster不动点定理 可变时滞 偶数阶 非线性中立型差分方程 最终正解 存在条件 差分不等式 等价性 |
| 文章编号： | 1006-0774(2003)04-0012-05 |
| 修稿时间： | 2002-02-20 |
Equivalence of positive solution for even order delay difference equations and difference inequalities |
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| YANG Feng-jian. Equivalence of positive solution for even order delay difference equations and difference inequalities[J]. Journal of Zhongkai Agrotechnical College, 2003, 16(4): 12-16 |
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| Authors: | YANG Feng-jian |
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| Abstract: | The eventually positive solution of a class of even order nonlinear neutral difference equations was concerned. By the Knaster fixed point theorem in Banach space, the necessary and sufficient condition of existence of bounded eventually positive solution for these equations was obtained. |
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| Keywords: | nonlinear neutral difference equations variable delay eventually positive solution |
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