| 二阶非线性中立型时滞差分方程的正解 |
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| 引用本文： | 关新平,俞元洪.二阶非线性中立型时滞差分方程的正解[J].应用数学学报,1999,22(3):383-391. |
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| 作者姓名： | 关新平 俞元洪 |
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| 作者单位： | [1]燕山大学数学系 [2]中国科学院应用数学研究所 |
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| 摘 要： | 本文研究了一类二阶非线性中立型时滞差分方程的正解，得到了最终正解的存在性判据及存在正解的必要条件，建立了一些正解不存在性定理，所得结论推广并改进了已知的一些结果。
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| 关 键 词： | 中立型 非线性 时滞差分方程 正解 |
POSITIVE SOLUTION OF SECOND ORDER NONLINEAR NEUTRAL DELAY DIFFERENCE EQUATIONS |
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| GUAN XINPING, YANG JUN.POSITIVE SOLUTION OF SECOND ORDER NONLINEAR NEUTRAL DELAY DIFFERENCE EQUATIONS[J].Acta Mathematicae Applicatae Sinica,1999,22(3):383-391. |
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| Authors: | GUAN XINPING YANG JUN |
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| Abstract: | Positive solutions for a class of second order nonlinear neutral delay difference equations are studied in this paper. Existence criteria for eventually positive solutions and necessary conditions for existing positive solutions are obtained. Some nonexistence theorems of positive solutions are established. The conclusions extend and improve some known results. |
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| Keywords: | Neutral difference equation nonlinear delay difference equation eventually positive solution |
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