Periodic solutions of Hamiltonian systems coupling twist with generalized lower/upper solutions

被引：4

作者：

Fonda, Alessandro ^{[1
]}

Ullah, Wahid ^{[1
]}

机构：

[1] Univ Trieste, Dipartimento Matemat & Geosci, Ple Europa 1, I-34127 Trieste, Italy

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2024年 / 379卷

关键词：

Hamiltonian systems; Periodic boundary value problem; Poincare-Birkhoff theorem; Lower and upper solutions; Hartman condition; POINCARE-BIRKHOFF THEOREM; PERTURBATIONS; ORBITS; FLOWS;

D O I：

10.1016/j.jde.2023.10.008

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The Hamiltonian systems considered in this paper are obtained by weakly coupling two systems hav-ing completely different behaviors. The first one satisfies the twist assumptions usually considered for the application of the Poincare-Birkhoff Theorem, while the second one presents the existence of some well -ordered lower and upper solutions. In the higher dimensional case, we also treat a coupling situation where the classical Hartman condition is assumed.(c) 2023 The Author(s). Published by Elsevier Inc. This is an open access article under the CC BY-NC-ND license (http://creativecommons .org /licenses /by -nc -nd /4 .0/).

引用

页码：148 / 174

页数：27

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