Open Mathematics (Sep 2022)

Minimal period problem for second-order Hamiltonian systems with asymptotically linear nonlinearities

  • Kuang Juhong,
  • Chen Weiyi

DOI
https://doi.org/10.1515/math-2022-0473
Journal volume & issue
Vol. 20, no. 1
pp. 974 – 985

Abstract

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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.

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