Multiple positive periodic solutions of nonlinear functional differential system with feedback control

Multiple positive periodic solutions of nonlinear functional differential system with feedback control
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DOI:
10.1016/j.jmaa.2003.09.055
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发表时间:
2003-12
影响因子:
1.3
通讯作者:
Ping Liu;Yongkun Li
Ping Liu;Yongkun Li
中科院分区:
数学3区
文献类型:
--
作者:
Ping Liu;Yongkun Li

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本文利用Avery-Henderson不动点定理研究了一类具有反馈控制的非线性非自治泛函微分系统的正周期解的存在性:[公式:见正文]我们证明了在一定的增长条件下,上述系统至少有两个正周期解。
In this paper, we employ Avery–Henderson fixed point theorem to study the existence of positive periodic solutions to the following nonlinear nonautonomous functional differential system with feedback control: [Formula: see text] We show that the system above has at least two positive periodic solutions under certain growth condition imposed on F.