Periodic solutions of second-order nonautonomous dynamical systems

DOI10.1155/BVP/2006/25104zbMath1140.34366OpenAlexW2129026697MaRDI QIDQ2472128

Schechter, Martin

Publication date: 20 February 2008

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

Full work available at URL: https://eudml.org/doc/54300

zbMATH Keywords

existence of solutionssaddle point theoremlinking methods

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Periodic solutions to ordinary differential equations (34C25)

Related Items (13)

Existence of periodic solutions for a class of damped vibration problems ⋮ Ground state solutions for non-autonomous dynamical systems ⋮ Some notes on a superlinear second order Hamiltonian system ⋮ Existence of nonconstant periodic solutions for a class of second-order systems with \(p(t)\)-Laplacian ⋮ Periodic solutions for autonomous \((q,p)\)-Laplacian system with impulsive effects ⋮ Non-autonomous second order Hamiltonian systems ⋮ On periodic solutions of higher-order functional differential equations ⋮ Nonconstant periodic solutions for a class of ordinary \(p\)-Laplacian systems ⋮ New existence results on periodic solutions of non-autonomous second order Hamiltonian systems ⋮ New existence of periodic solutions for second order non-autonomous Hamiltonian systems ⋮ Periodic solutions of second order non-autonomous Hamiltonian systems with local superquadratic potential ⋮ Existence of solutions for second-order Hamiltonian systems with resonance ⋮ Infinitely many rotating periodic solutions for local superquadratic damped Hamiltonian systems with sublinear impulsive effects

Cites Work

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• New linking theorems
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• Periodic solutions of non-autonomous second order systems with \(\gamma\)- quasisubadditive potential
• Periodic solutions for nonautonomous second order systems with sublinear nonlinearity
• Selected new aspects of the calculus of variations in the large
• Nonlinear oscillations for classical Hamiltonian systems with bi-even subquadratic potentials
• Periodic solutions for second order systems with not uniformly coercive potential

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