GROUND STATE ROTATING PERIODIC SOLUTIONS FOR SECOND-ORDER HAMILTONIAN SYSTEMS WITH “PINCHED” CONDITION

Tiefeng Ye; Ao Wang; Yang Yu

doi:10.11948/20250082

2026 Volume 16 Issue 3

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Tiefeng Ye, Ao Wang, Yang Yu. GROUND STATE ROTATING PERIODIC SOLUTIONS FOR SECOND-ORDER HAMILTONIAN SYSTEMS WITH “PINCHED” CONDITION[J]. Journal of Applied Analysis & Computation, 2026, 16(3): 1256-1275. doi: 10.11948/20250082

Citation:

Tiefeng Ye, Ao Wang, Yang Yu. GROUND STATE ROTATING PERIODIC SOLUTIONS FOR SECOND-ORDER HAMILTONIAN SYSTEMS WITH “PINCHED” CONDITION[J]. Journal of Applied Analysis & Computation, 2026, 16(3): 1256-1275. doi: 10.11948/20250082

GROUND STATE ROTATING PERIODIC SOLUTIONS FOR SECOND-ORDER HAMILTONIAN SYSTEMS WITH “PINCHED” CONDITION

1.
School of Computer Science and Technology, Zhejiang University of Water Resources and Electric Power, Hangzhou 310000, China

Author Bio: Email: wangao@zjweu.edu.cn(A. Wang); Email: yuyang@zjweu.edu.cn(Y. Yu)
Corresponding author: Email: yetiefeng@126.com(T. Ye)

Abstract

Abstract

This paper aims to investigate the existence of ground state rotating periodic solutions for second-order Hamiltonian systems. The rotating periodic solution may be periodic, anti-periodic, subharmonic or quasi periodic based on the forms of the orthogonal matrix. By using Nehari manifold and perturbation method, we obtain existence results under the nondecreasing monotone assumption and “pinched” condition. Our results extend some existing relevant work.
- Hamiltonian systems /
- ground state rotating periodic solutions /
- Nehari manifold /
- perturbation method
MSC: 34C25, 58E05

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References

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