Periodic solutions of nonautonomous second-order Hamiltonian systems with even-typed potentials

DOI10.1016/j.na.2003.08.009zbMath1030.37043OpenAlexW2006099128MaRDI QIDQ1413964

Chun-Lei Tang, Xing-Ping Wu

Publication date: 17 November 2003

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.2003.08.009

zbMATH Keywords

existence of solutionsvariational methodscritical point theorymultiple solutionsHamiltonian systemperiodic problem

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Applications of variational problems in infinite-dimensional spaces to the sciences (58E50) Critical points of functions and mappings on manifolds (58K05)

Related Items

Some critical point theorems and their applications to periodic solution for second order Hamiltonian systems, Periodic solutions of second-order differential inclusions systems with \(p\)-Laplacian, Infinitely many periodic solutions for nonautonomous sublinear second-order Hamiltonian systems, Non-autonomous second order Hamiltonian systems, PERIODIC SOLUTIONS OF SECOND-ORDER DIFFERENTIAL INCLUSIONS SYSTEMS WITH (q, p)-LAPLACIAN, Multiple periodic solutions for a class of non-autonomous Hamiltonian systems with even-typed potentials, Existence and multiplicity of periodic solutions for second-order systems at resonance, Nontrivial periodic solutions for asymptotically linear resonant difference problem, Periodic solutions for a class of new superquadratic second order Hamiltonian systems

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