Existence and multiplicity of periodic solutions for nonautonomous second order Hamiltonian systems

DOI10.1186/S13661-016-0647-YzbMath1342.34059OpenAlexW2484399182WikidataQ59466698 ScholiaQ59466698MaRDI QIDQ737162

Fei Guo, Xingfan Chen

Publication date: 8 August 2016

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

Full work available at URL: https://doi.org/10.1186/s13661-016-0647-y

zbMATH Keywords

existencemultiplicityminimax methodssecond order Hamiltonian systemsthe least action principle

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Existence of solutions for minimax problems (49J35) General theory of ordinary differential operators (47E05) Applications of variational problems in infinite-dimensional spaces to the sciences (58E50)

Related Items (5)

Multiplicity of periodic solutions for second order Hamiltonian systems with mixed nonlinearities ⋮ New results on periodic solutions for second order damped vibration systems ⋮ Existence of periodic solutions for second-order Hamiltonian systems with asymptotically linear conditions ⋮ Multiplicity of periodic solutions for second order Hamiltonian systems with asymptotically quadratic conditions ⋮ Index theory for second order linear Hamiltonian systems with \(L^1\) coefficient matrix satisfying generalized periodic boundary value conditions

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