一类具振动系数的二阶中立型差分方程振动性  

Oscillation of Certain Second-Order Neutral Difference Equation with Oscillating Coefficient

作　　者：李同兴[1] 韩振来[1] 

机构地区：[1]济南大学理学院,山东济南250022

出　　处：《济南大学学报（自然科学版）》2009年第4期410-413,共4页Journal of University of Jinan(Science and Technology)

基　　金：国家自然科学基金(60774004);山东省自然科学基金(Y2008A28);济南大学博士基金(XBS0843)

摘　　要：二阶Emden-Fowler型差分方程在工程技术中具有广泛应用。本文运用Riccati变换技术研究一类二阶具有振动系数的中立型Emden-Fowler型时滞差分方程的振动性,给出该类方程所有有界解或者振动或者收敛于零的几个充分条件,并给出一个例子说明本文结果的应用性。Second-order Emden-Fowler difference equation is widely used in engineering technology. By means of Riccati transformation technique, this paper establishes some criteria which guarantee all bounded solutions either oscillate or converge to zero for a class of second-order neutral Emden-Fowler difference equation with oscillating coefficient, and gives an example to indicate the application of results.

关 键 词：振动性 中立型 Emden-Fowler差分方程 振动系数 

分 类 号：O175.7[理学—数学]