Periodic solutions of nonautonomous second order Hamiltonian systems

DOI10.1007/s10114-005-0532-6zbMath1081.37009OpenAlexW101196955MaRDI QIDQ2581195

Shixia Luan, Anmin Mao

Publication date: 9 January 2006

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-005-0532-6

zbMATH Keywords

local linkingcritical point theoryvariational methodnonautonomous Hamiltonian systems

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Topological dynamics of nonautonomous systems (37B55)

Related Items (8)

Superlinear damped vibration problems on time scales with nonlocal boundary conditions ⋮ Some critical point theorems and their applications to periodic solution for second order Hamiltonian systems ⋮ Some united existence results of periodic solutions for non-quadratic second order Hamiltonian systems ⋮ Periodic solutions for some nonautonomous second order Hamiltonian systems ⋮ Non-autonomous second order Hamiltonian systems ⋮ Periodic solutions of an infinite-dimensional Hamiltonian system ⋮ Periodic solutions for a class of new superquadratic second order Hamiltonian systems ⋮ Existence and multiplicity of periodic solutions for some second-order Hamiltonian systems

Cites Work

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• Periodic solutions for a class of non-autonomous Hamiltonian systems
• Critical point theory and Hamiltonian systems
• Periodic solutions of non-autonomous second order systems with superlinear terms
• Multiple solutions for a class of nonlinear Schrödinger equations
• Applications of local linking to critical point theory
• Deformation in locally convex topological linear spaces
• Periodic Solutions of Hamiltonian Systems: A Survey

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