Periodic solutions of asymptotically linear dynamical systems

DOI10.1007/BF01197750zbMath0821.34037MaRDI QIDQ1346268

Vieri Benci, Donato Fortunato

Publication date: 11 April 1995

Published in: NoDEA. Nonlinear Differential Equations and Applications (Search for Journal in Brave)

zbMATH Keywords

periodic solutionsasymptotically linear dynamical systems

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25)

Related Items (15)

Affine-periodic solutions by asymptotic and homotopy equivalence ⋮ Solutions of elliptic problems with nonlinearities of linear growth ⋮ Estimates of the number of periodic trajectories on a class of Lorentz manifolds ⋮ A multiplicity result for a class of strongly indefinite asymptotically linear second order systems ⋮ Weak periodic solution for semilinear parabolic problem with singular nonlinearities and \(L^1\) data ⋮ Infinitely many rotating periodic solutions for second-order Hamiltonian systems ⋮ Poincaré–Birkhoff results for Lagrangian systems with subquadratic potential ⋮ A twist condition and periodic solutions of Hamiltonian systems ⋮ Bounded resonant problems driven by fractional Laplacian ⋮ Asymptotically linear elliptic problems at resonance ⋮ Nonlinear differential problems and Morse theory ⋮ Preservation of the Maslov index along bifurcating branches of solutions of first order systems in \(\mathbf {R}^{N}\) ⋮ Maslov index, Poincaré-Birkhoff theorem and periodic solutions of asymptotically linear planar Hamiltonian systems ⋮ Existence and multiplicity of rotating periodic solutions for resonant Hamiltonian systems ⋮ Asymptotically linear cooperative elliptic system: existence and multiplicity

Cites Work

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• Une théorie de Morse pour les systèmes hamiltoniens convexes
• A new approach to the Morse-Conley theory and some applications
• Abstract critical point theorems and applications to some nonlinear problems with “strong” resonance at infinity
• Morse‐type index theory for flows and periodic solutions for Hamiltonian Equations
• Periodic solutions of asymptotically linear Hamiltonian systems

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