| 一类高阶中立型差分方程正解的存在性 |
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| 引用本文： | 张青,崔献军,刘玉军,谢振宇. 一类高阶中立型差分方程正解的存在性[J]. 河北师范大学学报(自然科学版), 2009, 33(2) |
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| 作者姓名： | 张青 崔献军 刘玉军 谢振宇 |
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| 作者单位： | 邯郸学院教学系,河北,邯郸,056005;河北师范大学职业技术学院,河北,石家庄,050031 |
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| 摘 要： | 利用在集合上定义映射和Knastet不动点原理,讨论了奇数阶中立型差分方程有界正解的存在性,得出了相应方程有界正解存在的充要条件.
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| 关 键 词： | 中立型差分方程 正解存在性 最终正解 Banach空间 |
Existence of Positive Solutions for a Class of Neutral Difference Equations |
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| ZHANG Qing,CUI Xian-jun,LIU Yu-jun,XIE Zhen-yu. Existence of Positive Solutions for a Class of Neutral Difference Equations[J]. Journal of Hebei Normal University, 2009, 33(2) |
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| Authors: | ZHANG Qing CUI Xian-jun LIU Yu-jun XIE Zhen-yu |
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| Affiliation: | 1.Department of Mathematics;Handan College;Hebei Handan 056005;China;2.College of Vocational Technology;Hebei Normal University;Hebei Shijiazhuang 050031;China |
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| Abstract: | The existence of a bounded positive solution for odd neutral difference equations is investigated by Knoaster fixed-point theorem and definition of the compressed injection on a set.A sufficient and necessary condition for existence of a bounded positive solution about the corresponding equation is obtained. |
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| Keywords: | neutral difference equation existence of positive solution eventually positive solution Banach space |
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