Existence and multiplicity of periodic solutions for some second-order Hamiltonian systems

DOI10.1186/1029-242X-2014-411zbMath1333.37096WikidataQ59324575 ScholiaQ59324575MaRDI QIDQ257804

Lan Di, Hong-Min Suo, Chang-Mu Chu, Yu-Cheng An

Publication date: 17 March 2016

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

zbMATH Keywords

periodic solutionsecond-order systemsSobolev's inequalityWirtinger's inequality

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Hamilton's equations (70H05)

Cites Work

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• Periodic solutions for nonautonomous second order Hamiltonian systems with sublinear nonlinearity
• The existence of periodic solutions of non-autonomous second-order Hamiltonian systems
• Periodic solutions for some nonautonomous second order Hamiltonian systems
• Periodic solutions of a class of second order non-autonomous Hamiltonian systems
• Critical point theory and Hamiltonian systems
• On the solvability of semilinear gradient operator equations
• Periodic solutions for some nonautonomous second-order systems
• 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
• Periodic solutions of non-autonomous second order systems
• Periodic non-autonomous second-order dynamical systems
• Periodic solutions of nonautonomous second order Hamiltonian systems
• Remarks on finding critical points
• Periodic solutions for nonautonomous second order systems with sublinear nonlinearity
• Existence and multiplicity of periodic solutions for nonautonomous second order systems
• Nonlinear oscillations for classical Hamiltonian systems with bi-even subquadratic potentials

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