Periodic solutions for some second order systems

DOI10.1016/J.NA.2007.03.031zbMath1169.34322OpenAlexW2080579510MaRDI QIDQ943755

Fubao Zhang, Fengjuan Meng

Publication date: 10 September 2008

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2007.03.031

zbMATH Keywords

periodic solutioncritical pointssaddle point theoremsuperquadratic potential

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Existence of optimal solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49J30)

Related Items (7)

Infinitely many periodic solutions for a class of second-order Hamiltonian systems ⋮ Existence results to some damped-like fractional differential equations ⋮ Multiple solutions for nonlinear systems with gyroscopic terms ⋮ Periodic solutions to second order nonautonomous differential systems with gyroscopic forces ⋮ Existence and multiplicity of homoclinic solutions for a class of damped vibration problems ⋮ An application of variational approach to a class of damped vibration problems with impulsive effects on time scales ⋮ On a class of damped vibration problems with super-quadratic potentials

Cites Work

• Critical point theory and Hamiltonian systems
• Periodic solutions for second order Hamiltonian systems with a change sign potential
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