Existence of periodic solutions of a particular type of super-quadratic Hamiltonian systems

DOI10.1016/j.jmaa.2014.08.006zbMath1308.34054OpenAlexW2056019480MaRDI QIDQ743223

Fei Guo, Xiao-Fei Zhang

Publication date: 23 September 2014

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2014.08.006

zbMATH Keywords

periodic solutionsHamiltonian systemsuperquadratic

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Variational principles in infinite-dimensional spaces (58E30)

Related Items (5)

Minimal brake orbits of first-order convex Hamiltonian systems with anisotropic growth ⋮ Multiplicity of subharmonic solutions and periodic solutions of a particular type of super-quadratic Hamiltonian systems ⋮ Periodic and subharmonic solutions for a class of superquadratic first order Hamiltonian systems ⋮ Subharmonic solutions and minimal periodic solutions of first-order Hamiltonian systems with anisotropic growth ⋮ Brake orbits of first order convex Hamiltonian systems with particular anisotropic growth

Cites Work

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• Periodic solutions of superquadratic Hamiltonian systems
• Critical point theorems for indefinite functionals
• Periodic and subharmonic solutions of a class of superquadratic Hamiltonian systems
• Periodic Solutions of Hamiltonian Systems: A Survey
• Periodic solutions of hamiltonian systems

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