| 具有可变时滞的偶数阶非线性中立型差分方程的正解 |
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| 引用本文： | 杨逢建,刘洁纯.具有可变时滞的偶数阶非线性中立型差分方程的正解[J].系统科学与数学,2002,22(1):085-089. |
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| 作者姓名： | 杨逢建 刘洁纯 |
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| 作者单位： | 1. 仲恺农业技术学院基础部,广州,510225
2. 湖南工程学院数学系,湘潭,411101 |
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| 摘 要： | 本文考虑具有可变时滞的偶数阶非线性中立型差分方程，利用Ｂａｎａｃｈ空间的压缩映象原理，得到了这类方程存在最终正解的判别准则．
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| 关 键 词： | 时滞 中立型差分方程 非线性差分方程 最终正解 |
| 修稿时间： | 2000年8月7日 |
POSITIVE SOLUTION OF EVEN ORDER NONLINEAR NEUTRAL DIFFERENCE EQUATIONS WITH VARIABLE DELAY |
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| Feng Jian YANG,Jie Chun LIU.POSITIVE SOLUTION OF EVEN ORDER NONLINEAR NEUTRAL DIFFERENCE EQUATIONS WITH VARIABLE DELAY[J].Journal of Systems Science and Mathematical Sciences,2002,22(1):085-089. |
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| Authors: | Feng Jian YANG Jie Chun LIU |
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| Institution: | (1)Department of Mathematics, Zhongkai Agrotechnical College, Guangzhou 510225,P.R.China(2)Department of Mathematics, Hunan institute of Engineering, Xiangtan 411101,P.R.China |
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| Abstract: | Positive solutions for a class of high order nonlinear neutral difference equations with variable delay are studied in this paper. By the principle of contraction mapping in Banach space, existence criteria for eventually positive solutions are obtained. |
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| Keywords: | Delay neutral difference equations nonlinear difference equations eventually positive solution |
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