| 二阶变系数多时滞非线性中立型差分方程的正解 |
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| 引用本文： | 杨甲山.二阶变系数多时滞非线性中立型差分方程的正解[J].四川师范大学学报(自然科学版),2009,32(4). |
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| 作者姓名： | 杨甲山 |
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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： | 湖南省教育厅科研基金 |
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| 摘 要： | 研究了一类具有变系数的二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,同时也得出了该类方程不存在正解的几个判别依据,推广了现有文献中的某些结果.
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| 关 键 词： | 中立型差分方程 非线性时滞差分方程 最终正解 |
Positive Solution of the Second Order Nonlinear Neutral Difference Equations with Variable Coefficients and Multi-time Delay |
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| YANG Jia-shan.Positive Solution of the Second Order Nonlinear Neutral Difference Equations with Variable Coefficients and Multi-time Delay[J].Journal of Sichuan Normal University(Natural Science),2009,32(4). |
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| Authors: | YANG Jia-shan |
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| Institution: | Department of Mathematics and Information Science;Shaoyang University;Shaoyang 422004;Hunan |
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| Abstract: | Positive solution for a class of the second order nonlinear neutral difference equations with variable coefficients and multi-time delay is studied in this paper.By the principle of contraction mapping in Banach space,existence criteria for eventually positive solutions are obtained,some nonexistence theorems of positive solutions are also established.The results extend some existing results in the literature. |
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| Keywords: | Neutral difference equation Nonlinear delay difference equation Eventually positive solution |
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