带有强迫项二阶差分方程的振动性  

Oscillation Criteria for A Second Order Difference Equation with Forced Term

作　　者：陈慧琴[1] 靳祯[2] 

机构地区：[1]山西大同大学数计学院,山西大同037009 [2]中北大学理学院,山西太原030051

出　　处：《太原师范学院学报（自然科学版）》2011年第2期35-37,共3页Journal of Taiyuan Normal University:Natural Science Edition

基　　金：国家自然科学基金(60771026);山西省自然科学基金(2010011007)

摘　　要：文章主要考虑一类带有强迫项二阶差分方程Δ2xn+pnxn+1=fn,n≥0,解的振动性.通过其对应齐次方程的正解,建立了由强迫项引起振动的充分条件,并以例说明主要结论.We consider oscillation criteria for a class of second order difference equation with forced term Δ2xn＋pnxn＋1=fn,n≥0. We use eventually positive of its homogeneous difference equation and establish sufficient conditions for oscillation criteria arise from its forced term.We also provide example to illustrate our main results.

关 键 词：带有强迫项差分方程 最终正解 最终负解 振动 

分 类 号：O175.7[理学—数学]