一类多滞量周期扰动非线性系统的周期解

留言板

尊敬的读者、作者、审稿人, 关于本刊的投稿、审稿、编辑和出版的任何问题, 您可以本页添加留言。我们将尽快给您答复。谢谢您的支持!

姓名

邮箱

手机号码

标题

留言内容

验证码

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

[1]	Gaines R E,Mawhin J L.Coincidence degree and nonlinear differential equations[J].Lecture Notes in Mathematics,1977,568(2):10-35.
[2]	Gopalsmay K.Stability and Oscillations in Delay Differential Equations of Population Dynamics[M].Boston:Kluwer Academic Publisher,1992,44-88.
[3]	庾建设.非自治时滞微分方程的渐近稳定性[J].科学通报,1997,42(12):1284-1252.
[4]	Brower F E,Nussbaum R D.The topological degree for noncompact nonlinear mappings in Banach space[J].Bull Amer Math Soc,1968,74(3):671-676.
[5]	Hale J K,Mawhin J.Coincidence degree and periodic solutions of nuetral equations[J].J Differential Equations,1974,15(2):295-307.

点击查看大图