| 偶数阶中立型差分方程最终正解的存在性 |
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| 引用本文： | 张萌,孙书荣.偶数阶中立型差分方程最终正解的存在性[J].北京工商大学学报(自然科学版),2009,27(6):66-68,71. |
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| 作者姓名： | 张萌 孙书荣 |
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| 作者单位： | 济南大学,理学院,济南,250022 |
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| 基金项目： | 山东省自然科学基金资助项目，济南大学博士基金资助项目 |
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| 摘 要： | 研究一类具连续变量偶数阶中立型时滞差分方程,利用Lebesgue控制收敛定理给出这类方程存在最终有界正解的一个充分必要条件,得到相应新的比较定理.
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| 关 键 词： | 中立型时滞差分方程 Lebesgue控制收敛定理 最终有界正解 连续变量 |
EVENTUALLY POSITIVE SOLUTIONS OF EVEN ORDER NEUTRAL DIFFERENCE EQUATIONS |
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| ZHANG Meng,SUN Shu-rong.EVENTUALLY POSITIVE SOLUTIONS OF EVEN ORDER NEUTRAL DIFFERENCE EQUATIONS[J].Journal of Beijing Technology and Business University:Natural Science Edition,2009,27(6):66-68,71. |
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| Authors: | ZHANG Meng SUN Shu-rong |
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| Institution: | ZHANG Meng,SUN Shu-rong(School of Sciences,University of Jinan,Jinan 250022,China) |
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| Abstract: | In this paper,the authors consider the even-order neutral difference equations with continuous arguments.By using Lebesgue' dominated convergence theorem,a necessary and sufficient condition for the existence of eventually positive and bounded solutions is obtained. |
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| Keywords: | neutral difference equation Lebesgue dominated convergence theorem eventually positive solution continuous argument |
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