摘要
利用拓扑度方法研究一类具有多滞量的周期非线性系统.x(t)=f(t,x(t),x(t-τ1(t)),…,x(t-τm(t)))周期解的存在性,得到该系统存在周期解的充分条件,改进了已有的相关结果.给出了时滞单种群对数模型存在正周期解新的充分条件,该条件改进了相关的已知结果.
The existence of ω - periodic solutions of the nonlinear system with multiple delays x（t）=f（t,x（i）,x（t=t1（i））,…,x（t-tm（t））） is studied by the method of topological degree. Some new sullicient conditions are obtained for the existence of the ω - periodic solutions, which improve the known results. As an application, the sufficient conditions are also obtained for the existence of positive periodic solution for a logarithmic population model. These conditions also improve related results.
出处
《湘潭大学自然科学学报》
CAS
CSCD
北大核心
2006年第2期19-22,共4页
Natural Science Journal of Xiangtan University
基金
国家自然科学基金资助项目(10371103)
关键词
多滞量
周期解
拓扑度
非线性系统
multiple delays
periodic solution
topological degee
nonlinear system
