一类多滞量周期扰动非线性系统的周期解

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On the Existence of Periodic Solutions for Nonlinear System With Multiple Delays

Basic Sciences Department, Beijing Technology and Business University, Beijing 100037, China

摘要: 研究一类具有多个滞量的周期扰动非线性系统的T周期解.利用拓扑度的方法得到了系统存在T周期解的充分条件.作为应用,证明了具有滞后的单种群对数模型在一定条件下存在正周期解.
- 多滞量 /
- 周期解 /
- 拓扑度
Abstract: The existence of T periodic solutions of the nonlinear system with multiple delays is studied. By using the topological degree method, sufficient conditions are obtained for the existence of T-periodic solutions. As an application, the existence of positive periodic solution for a logarithmic population model is established under some conditions.
- multiple delays /
- periodic solution /
- topological degree

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