具有连续变量高阶差分方程的振动性  

Oscillation Criteria for a Family of High-order Difference Equations with Continuous Arguments

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：《郑州大学学报（理学版）》2012年第3期12-15,共4页Journal of Zhengzhou University:Natural Science Edition

基　　金：国家自然科学基金资助项目;编号10961020;国家民委项目;编号10QH03

摘　　要：利用分析法和Banach不动点原理,研究了一类具有连续变量的高阶差分方程的振动性,得到了这类方程的有界正解和解振动的充分条件.Oscillation criteria for a family of high-order difference equations with continuous arguments was investigated by using some analysis techniques and the fixed point theorem in Banach space.Some sufficient conditions for the bounded positive solutions and oscillations of the equation were obtained.

关 键 词：振动性 连续变量 差分方程 

分 类 号：O175.7[理学—数学]