Infinitely many nontrivial periodic solutions for damped vibration problems with asymptotically linear terms

DOI10.1016/j.amc.2014.07.114zbMath1335.34075OpenAlexW2047410188MaRDI QIDQ278655

Guan-Wei Chen

Publication date: 2 May 2016

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2014.07.114

zbMATH Keywords

variational methodasymptotically quadraticdamped vibration problemsinfinitely many nontrivial periodic solutions

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25)

Related Items (8)

Damped vibration problems with sign-changing nonlinearities: infinitely many periodic solutions ⋮ Existence and multiplicity of periodic solutions for damped vibration problems with nonlinearity of linear growth ⋮ Multiplicity of periodic solutions for a class of new super-quadratic damped vibration problems ⋮ Multiple periodic solutions for damped vibration systems with general nonlinearities at infinity ⋮ Periodic solutions of superquadratic damped vibration problems ⋮ Damped vibration problems with nonlinearities being sublinear at both zero and infinity ⋮ Multiple periodic solutions for damped vibration systems with superquadratic terms at infinity ⋮ Existence and multiplicity of nontrivial solutions for nonlinear Schrödinger equations with unbounded potentials

Cites Work

• Unnamed Item
• Periodic solutions for Hamiltonian systems without Ambrosetti-Rabinowitz condition and spectrum 0
• On a class of damped vibration problems with super-quadratic potentials
• Critical point theorems for indefinite functionals
• Saddle point characterization and multiplicity of periodic solutions of non-autonomous second-order systems
• Periodic solutions of non-autonomous second order systems with \(\gamma\)- quasisubadditive potential
• Minimax theorems
• On variational methods for a class of damped vibration problems
• Infinitely many solutions for Hamiltonian systems
• Deformation theorems on non-metrizable vector spaces and applications to critical point theory
• Periodic solutions for nonautonomous second order systems with sublinear nonlinearity
• Existence and multiplicity of periodic solutions for nonautonomous second order systems
• Variant fountain theorems and their applications

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