摘要
运用分析的方法研究一类具有连续变量的三阶非线性中立型时滞差分方程的振动性,给出该类方程所有有界解振动和方程振动的几个充分条件,推广并改进已有结论.
By using the method of analysis, the oscillation for a class of third order nonlinear neutral delay difference equations with continuous arguments △τ^2 ( r ( t ) △τ ( x ( t ) + q ( t ) x ( t - τ ) ) ) + p ( t ) f ( x ( t -σ ( t ) ) = 0 is studied. Some sufficient conditions are obtained for oscillation of all bounded solutions of the equations and oscillation of the equations. The results in this paper extend and improve the results given in literatures.
出处
《北京工商大学学报(自然科学版)》
CAS
2009年第5期65-67,共3页
Journal of Beijing Technology and Business University:Natural Science Edition
基金
山东省自然科学基金资助项目(Y2007A27
Y2008A28)
济南大学博士基金资助项目(B0621
XBS0843)
关键词
差分方程
振动性
最终正解
连续变量
difference equation
oscillation
eventually positive solution
continuous argument