Existence of periodic solutions of linear Hamiltonian systems with sublinear perturbation

DOI10.1155/2010/945421zbMath1201.37093OpenAlexW1964738225WikidataQ59249882 ScholiaQ59249882MaRDI QIDQ978489

Zhi-Qing Han

Publication date: 24 June 2010

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/227603

zbMATH Keywords

periodic solutionsaddle pointHamiltonian systemAhmad-Lazer-Paul condition

Mathematics Subject Classification ID

Variational principles in infinite-dimensional spaces (58E30) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10)

Related Items (2)

Planar Hamiltonian systems at resonance: the Ahmad-Lazer-Paul condition ⋮ Solutions of periodic boundary value problems for second-order nonlinear differential equations via variational methods

Cites Work

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• Equazioni differenziali ordinarie quasilineari con condizioni lineari
• Computations of cohomology groups and nontrivial periodic solutions of Hamiltonian systems
• On the solvability of semilinear gradient operator equations
• Periodic non-autonomous second-order dynamical systems
• On subharmonic solutions of hamiltonian systems
• Periodic solutions for a class of nonautonomous Hamiltonian systems

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