| Volume 9, Number 6, 2019, Pages 2245-2260 DOI：10.11948/20190024 |
| Nontrivial periodic solutions to a type of delayed resonant differential equations |
| Huafeng Xiao,Yuming Chen,Zhiming Guo |
| Keywords:Periodic solution, delay differential equation, Hamiltonian system, Clark dual. |
| Abstract: |
| 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. |
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