一类高阶中立型差分方程正解的存在性  

Existence of Positive Solutions for a Class of Neutral Difference Equations

作　　者：张青[1] 崔献军[1] 刘玉军[2] 谢振宇[2] 

机构地区：[1]邯郸学院数学系,河北邯郸056005 [2]河北师范大学职业技术学院,河北石家庄050031

出　　处：《河北师范大学学报（自然科学版）》2009年第2期166-169,共4页Journal of Hebei Normal University：Natural Science

基　　金：河北省自然科学基金(103141)

摘　　要：利用在集合上定义映射和Knaster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.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.

关 键 词：中立型差分方程 正解存在性 最终正解 BANACH空间 

分 类 号：O175.7[理学—数学]