| 高阶中立型差分方程正解的存在性和渐近性 |
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| 引用本文： | 孙书荣. 高阶中立型差分方程正解的存在性和渐近性[J]. 工程数学学报, 2002, 19(3): 15-20 |
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| 作者姓名： | 孙书荣 |
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| 作者单位： | 济南大学数学系,济南,250002 |
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| 基金项目： | Jinan university fund of science，UJNN0103， |
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| 摘 要： | 研究了一类高阶中立型差分方程△^l(Xn-CnXn-m) PnXn-k=0,n=N,N 1,N 2……正解的存在性和渐近性。利用Krasnoselskii不动点定理，给出了该类方程存在有界最终正解及当n→ ∞时其解渐近趋于零的几个充分条件。
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| 关 键 词： | 高阶中立型差分方程 正解 存在性 渐近性 |
Asymptotic Behavior and Existence of Positive Solutions for the Higher Order Neutral Difference Equations |
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| Abstract. Asymptotic Behavior and Existence of Positive Solutions for the Higher Order Neutral Difference Equations[J]. Chinese Journal of Engineering Mathematics, 2002, 19(3): 15-20 |
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| Authors: | Abstract |
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| Abstract: | We study the asymptotic behavior and existence of positive solutions for the higher order neutral difference equationBy using the Krasnoselskii fixed theorem, we obtain some sufficient conditions under which such an equation has a bounded and eventually positive solution which tends to zero as n→+∞. |
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| Keywords: | asymptotic behavior existence positive solutions difference equations. |
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