NONTRIVIAL PERIODIC SOLUTIONS TO A TYPE OF DELAYED RESONANT DIFFERENTIAL EQUATIONS
NONTRIVIAL PERIODIC SOLUTIONS TO A TYPE OF DELAYED RESONANT DIFFERENTIAL EQUATIONS
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一类时滞谐振微分方程的非平凡周期解
DOI：
10.11948/20190024
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发表时间：
2019
影响因子：
1.1
通讯作者：
Zhiming Guo
中科院分区：
文献类型：
--
作者：
Huafeng Xiao;Yuming Chen;Zhiming Guo
本文考虑一类时滞共振微分方程。我们主要研究周期解的存在性。利用Clark对偶，我们给出了两组关于至少存在一个周期解的判据。实际上，周期解是使耦合Hamilton系统的对偶泛函在Banach空间的某些子空间上最小化的临界点。
In this paper, we consider a type of delayed resonant differential equations. We focus on the existence of periodic solutions. Employing the Clark dual, we provide two sets of criteria on the existence of at least one periodic solution. In fact, the periodic solutions are critical points minimizing the dual functional of the coupled Hamiltonian system on certain subspaces of a Banach space.