一类奇数阶差分方程的非振动解的存在性  

Existence of Nonoscillatory Solutions of a Family of Odd-order Difference Equations

作　　者：赵玉萍[1] 

机构地区：[1]青海民族大学数学学院,青海西宁810007

出　　处：《山西大学学报（自然科学版）》2013年第3期375-378,共4页Journal of Shanxi University(Natural Science Edition)

基　　金：国家自然科学基金(10961020);青海省自然科学基金(2012-Z-910)

摘　　要：利用分析法和Banach不动点原理,研究了一类奇数阶差分方程的非振动解的存在性,得到了这类方程存在有界正解的充分条件.By using some necessary analysis techniques and the fixed point theorem in Banach space,the existence of nonoscillatory solutions of a family of odd-order difference equations were investigated,some sufficient conditions for the bounded positive solutions of the equation were obtained.

关 键 词：振动性 正负系数 差分方程 连续变量 

分 类 号：O175.7[理学—数学]