摘要
文章运用二分性及压缩映射原理,研究一类时滞广义Lienard微分方程x″+[f(x(t-τ))+h(t)]x′+q(t)x+g(t,x(t-τ))=p(t)的概周期解的存在性和稳定性,得到此类微分方程的概周期解存在唯一性的充分性定理。
Using the theory of exponential dichotomy and the fixed point theorem,this paper studies the existence and stability of the almost periodic solution of the generalized Lienard system with delay x″+[f(x(t-τ))+h(t)]x′+e(t)x+g(t,x(t-τ))=p(t),and obtains the sufficient conditions of the existence of the uniformly asymptotically stable almost periodic solution for system.
作者
黄记洲
符策红
HUANG Jizhou;FU Cehong(Qingyuan Polytechnic,Qingyuan Radio and TV University,Qingyuan Guangdong 511510,China;Hainan College of Software Technology,Qionghai Hainan 571400,China)
出处
《南昌大学学报(理科版)》
CAS
北大核心
2018年第6期524-531,共8页
Journal of Nanchang University(Natural Science)
基金
海南省自然科学基金资助项目(114010)
广东远程教育基金资助项目(YJ1233)
清远职业技术学院自然科学基金资助项目(kj12004).
关键词
LIENARD方程
指数型二分性
压缩映射原理
概周期解
generalized Lienard system
exponential dichotomy
fixed point theorem
almost periodic solution