摘要
利用分析的方法和不动点原理,研究了一类不稳定的二阶非线性中立型差分方程,给出了该类方程有界解振动的一个充要条件及非振动解趋向于零的一个充分条件,对已有文献中某些结果进行了推广和改进.
A class of unstable type second- order neutral difference equations is investigated by using the method of analysis and the fixed point theorem. One sufficient and necessary condition for oscillation of the bouned solutions of the equations is obtained,and one sufficient condition for the convergence to zero of nonscillatory solutons is also gained. The results extend some existing results in the literature.
出处
《嘉应学院学报》
2015年第5期15-18,共4页
Journal of Jiaying University
关键词
振动性
渐近性
中立型差分方程
有界解
oscillation
asymptotic behayior
neutral difference equations
bounded solutions
