Periodic solutions of superquadratic damped vibration problems

DOI10.1016/J.AMC.2015.08.095zbMath1410.34121OpenAlexW1476577891MaRDI QIDQ670844

Guan-Wei Chen

Publication date: 20 March 2019

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

Full work available at URL: https://doi.org/10.1016/j.amc.2015.08.095

zbMATH Keywords

variational methodsdamped vibration problemsinfinitely many nontrivial periodic solutionssuperquadratic

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Hamilton's equations (70H05) Existence of solutions for minimax problems (49J35)

Related Items (4)

Damped vibration problems with sign-changing nonlinearities: infinitely many periodic solutions ⋮ Multiplicity of periodic solutions for a class of new super-quadratic damped vibration problems ⋮ 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

• Infinitely many nontrivial periodic solutions for damped vibration problems with asymptotically linear terms
• On a class of damped vibration problems with super-quadratic potentials
• Critical point theorems for indefinite functionals
• Minimax theorems
• On variational methods for a class of damped vibration problems
• Deformation theorems on non-metrizable vector spaces and applications to critical point theory
• Variant fountain theorems and their applications
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