Minimal period problem for second-order Hamiltonian systems with asymptotically linear nonlinearities
Minimal period problem for second-order Hamiltonian systems with asymptotically linear nonlinearities
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DOI：
10.1515/math-2022-0473
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发表时间：
2022-01
期刊：
影响因子：
1.7
通讯作者：
Juhong Kuang;Weiyi Chen
中科院分区：
文献类型：
--
作者：
Juhong Kuang;Weiyi Chen
Abstract By applying the combination of discrete variational method and approximation, developed in a previous study [J. Kuang, W. Chen, and Z. Guo, Periodic solutions with prescribed minimal period for second-order even Hamiltonian systems, Commun. Pure Appl. Anal. 21 (2022), no. 1, 47–59], we overcome some difficulties in the absence of Ambrosetti-Rabinowitz condition and obtain new sufficient conditions for the existence of periodic solutions with prescribed minimal period for second-order Hamiltonian systems with asymptotically linear nonlinearities.
