Minimal period problem for second-order Hamiltonian systems with asymptotically linear nonlinearities-Reference-Cited by-同舟云学术

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

Published:2022-01-01 Issue:1 Volume:20 Page:974-985
ISSN:2391-5455
Container-title:Open Mathematics
language:en
Short-container-title:

Author:

Kuang Juhong¹,Chen Weiyi¹

Affiliation:

1. School of Mathematics and Computational Sciences, Wuyi University , Jiangmen , P. R. China

Abstract

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.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/math-2022-0473/pdf

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