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多时滞中立型差分方程,给出了该类方程有界解振动的一个充分条件及非振动解趋向于常数的充分或充要条件,并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 with several delay arguments is investigated by using the method of analysis and the fixed point theorem, and one sufficient condition for oscillation of the bouned solutions of the equations is obtained. Two sufficient conditions or sufficient and necessary conditions for the convergence to a constant of nonscillatory solutions are also gained. In addition, some results existing in the literature are generalized and improved.
出处
《常熟理工学院学报》
2015年第4期49-52,共4页
Journal of Changshu Institute of Technology
关键词
中立型差分方程
多时滞
有界解
振动性
渐近性
neutral difference equations
several delay arguments
bounded solutions
oscillation
asymptotic behayior
