强迫项正负系数中立型时滞差分方程的振动性  

Oscillation of forced neutral several delay differential equations with positive and negative coefficients

作　　者：许红叶[1] 钟晓珠[1] 刘雪飞[1] 赵芬[1] 王寅琮[1] 

机构地区：[1]燕山大学理学院,河北秦皇岛066004

出　　处：《辽宁工程技术大学学报（自然科学版）》2012年第2期272-275,共4页Journal of Liaoning Technical University (Natural Science)

基　　金：河北省教育厅科学研究基金资助项目(Z2007413)

摘　　要：针对一类具有强迫项正负系数中立型时滞差分方程的振动性问题,利用适当的不等式和反证法,取得了该类方程存在有界的最终正解的判别准则,得到了该方程振动的两个判别依据,所得结果改进和推广了已有文献中的相应结论.This study investigates the oscillation of forced neutral delay differential equations with positive and negative coefficients problem.The criteria for determining the existence of the bounded eventually positive solution is obtained by using the appropriate inequality and reduction to absurdity.Moreover,two sufficient conditions for oscillatory of the equation are given.This study improves and extends the understanding in the field.

关 键 词：差分方程 中立型 强迫性 正负系数 最终正解 时滞 算子 振动性 

分 类 号：O175.7[理学—数学]