Multiplicity of periodic solutions for second-order perturbed Hamiltonian systems with local superquadratic conditions
type: Item
instance of: scholarly article
title: Multiplicity of periodic solutions for second-order perturbed Hamiltonian systems with local superquadratic conditions
zbMATH Open document ID: 1505.37069
author: Yan Liu
author: Fei Guo
published in: Communications on Pure and Applied Analysis
publication date: 2022-09-29T00:00:00Z
Mathematics Subject Classification ID: 37J40
Mathematics Subject Classification ID: 37J46
Mathematics Subject Classification ID: 70H09
Mathematics Subject Classification ID: 70H12
zbMATH DE Number: 7594455
zbMATH Keywords: second-order perturbed Hamiltonian systems
zbMATH Keywords: Bolle's perturbation method
zbMATH Keywords: local superquadratic conditions
zbMATH Keywords: periodic solutions
zbMATH Keywords: multiplicity
MaRDI profile type: Publication
full work available at URL: cpaa.2022098
OpenAlex ID: W4285184535
Wikidata QID: Q114022676
cites work: A Perturbation Method in Critical Point Theory and Applications
cites work: On the Bolza problem
cites work: The multiplicity of solutions in non-homogeneous boundary value problems
cites work: On periodic solutions of superquadratic Hamiltonian systems
cites work: Multiplicity of periodic solutions for a class of second-order perturbed Hamiltonian systems
cites work: Multiple Solutions of Perturbed Superquadratic Second Order Hamiltonian Systems
cites work: Index theory for symplectic paths with applications
cites work: Critical point theory and Hamiltonian systems
cites work: Periodic solutions of hamiltonian systems
cites work: Multiple Critical Points of Perturbed Symmetric Functionals
cites work: Q3749777
cites work: Multiple homoclinic orbits for a class of second order perturbed Hamiltonian systems
cites work: Multiple Solutions for Perturbed Elliptic Equations in Unbounded Domains
cites work: Periodic non-autonomous second-order dynamical systems
cites work: Q4933737
cites work: Periodic solutions for a class of superquadratic Hamiltonian systems
cites work: New existence results on periodic solutions of non-autonomous second order Hamiltonian systems
cites work: Periodic solutions of second order non-autonomous Hamiltonian systems with local superquadratic potential
cites work: Infinitely many periodic solutions of non-autonomous second-order Hamiltonian systems
cites work: Infinitely many homoclinic solutions for a class of indefinite perturbed second-order Hamiltonian systems
cites work: Infinitely many periodic solutions for second order Hamiltonian systems
cites work: New existence of periodic solutions for second order non-autonomous Hamiltonian systems
DOI: 10.3934/CPAA.2022098
description: scientific article; zbMATH DE number 7594455