On the existence of periodic solutions to second order Hamiltonian systems
In this paper, the existence of periodic solutions to the second order Hamiltonian systems is investigated. By introducing a new growth condition which generalizes the Ambrosetti–Rabinowitz condition, we prove a existence result of nontrivial $T$-periodic solution via the variational methods. Our re...
Main Authors: | Xiao-Feng Ke, Jia-Feng Liao |
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Format: | Article |
Language: | English |
Published: |
University of Szeged
2022-07-01
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Series: | Electronic Journal of Qualitative Theory of Differential Equations |
Subjects: | |
Online Access: | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=9889 |
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