The Rabinowitz minimal periodic solution conjecture
DOI10.1142/S0129167X21400103zbMath1493.37077OpenAlexW3166391107WikidataQ113777582 ScholiaQ113777582MaRDI QIDQ5021423
Publication date: 13 January 2022
Published in: International Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0129167x21400103
Periodic solutions to ordinary differential equations (34C25) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Action-minimizing orbits and measures for finite-dimensional Hamiltonian and Lagrangian systems; variational principles; degree-theoretic methods (37J51) Periodic, homoclinic and heteroclinic orbits of finite-dimensional Hamiltonian systems (37J46)
Related Items (2)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Symmetric period solutions with prescribed minimal period for even autonomous semipositive Hamiltonian systems
- Minimal period problems for brake orbits of nonlinear autonomous reversible semipositive Hamiltonian systems
- Multiple solutions with prescribed minimal period for second order odd Newtonian systems with symmetries
- Periodic solutions of large norm of Hamiltonian systems
- Subharmonic solutions with prescribed minimal period of a class of nonautonomous Hamiltonian systems
- Minimal period estimates for brake orbits of nonlinear symmetric Hamiltonian systems
- Forced vibrations of superquadratic Hamiltonian systems
- Periodic solutions with prescribed minimal period for convex autonomous Hamiltonian systems
- Solutions of minimal period for a class of convex Hamiltonian systems
- The structure of the singular symplectic matrix set
- Some results on the minimal period problem on nonconvex second order Hamiltonian systems
- Bott formula of the Maslov-type index theory
- The minimal period problem of classical Hamiltonian systems with even potentials
- The minimal period problem of periodic solutions for autonomous superquadratic second order Hamiltonian systems
- On the minimal period for the periodic solutions problem of nonlinear Hamiltonian systems
- Precise iteration formulae of the Maslov-type index theory and ellipticity of closed characteristics
- Iteration inequalities of the Maslov-type index theory with applications
- Solutions of minimal period for even classical Hamiltonian systems
- A note on the minimal period problem for second order Hamiltonian systems
- Infinite dimensional Morse theory and multiple solution problems
- Index theory for symplectic paths with applications
- Periodic solutions with prescribed minimal period for the second order Hamiltonian systems with even potentials
- Periodic solutions with prescribed minimal period to Hamiltonian systems
- Dual variational methods in critical point theory and applications
- Multiple brake orbits in bounded convex symmetric domains
- Seifert Conjecture in the Even Convex Case
- Index Iteration Theory for Brake Orbit Type Solutions and Applications
- Some results on solutions of minimal period to superquadratic Hamiltonian systems
- A Geometric Description of the Neighbourhood of a Critical Point Given by the Mountain-Pass Theorem
- Existence of forced oscillations for some nonlinear differential equations
- Multiple Solutions of Perturbed Superquadratic Second Order Hamiltonian Systems
- Periodic solutions of hamiltonian systems
- Hamiltonian trajectories having prescribed minimal period
- The iteration formula of the Maslov-type index theory with applications to nonlinear Hamiltonian systems
- Minimal period solutions of nonlinear hamiltonian systems
- Subharmonic oscillations with prescribed minimal period for a class of hamiltonian systems
This page was built for publication: The Rabinowitz minimal periodic solution conjecture