摘要
考虑了一类含有强迫项的高阶非线性中立型微分方程,通过运用Krasnoselskii′s不动点定理和分析技巧,得到了该方程每一个有界解振动或趋于零的充要条件.所得结果改进了一些已知结论,并给出了实例验证.
In this paper,we investigate a class of higher order nonlinear neutral differential equations with forced term.By using Krasnoselskii′s fixed point theorem and analytical technique,new necessary and sufficient conditions are obtained for every bounded solution which either oscillates or tends to zero.In particular,the obtained results improve some known results and two examples are given to show the applications of the results.
作者
李静
蔡海
王培光
LI Jing;CAI Hai;WANG Peiguang(Henan Engineering Research Center of Rail Transit Intelligent Security,Zhengzhou 450000,China;College of Mathematics and Information Science,Hebei University,Baoding 071002,China)
出处
《河北大学学报（自然科学版）》
CAS
北大核心
2019年第2期118-123,共6页
Journal of Hebei University(Natural Science Edition)
基金
国家自然科学基金资助项目(11271106)
关键词
中立型方程
强迫
有界解
neutral equations
forced
bounded solutions
