Periodic and subharmonic solutions of second-order Hamiltonian systems
From MaRDI portal
Publication:1827100
DOI10.1016/j.jmaa.2003.11.007zbMath1042.37047OpenAlexW2049176479MaRDI QIDQ1827100
Publication date: 6 August 2004
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2003.11.007
Periodic solutionCondition (C)Generalized mountain pass theoremSubharmonic solutionSuperquadratic Hamiltonian system
Existence of solutions for minimax problems (49J35) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05)
Related Items
Multiple homoclinic solutions for a class of nonhomogeneous Hamiltonian systems, Existence and multiplicity of weak quasi-periodic solutions for second order Hamiltonian system, Existence of periodic solutions for a class of damped vibration problems, Some critical point theorems and their applications to periodic solution for second order Hamiltonian systems, Multiplicity of periodic solutions for second order Hamiltonian systems with mixed nonlinearities, Some united existence results of periodic solutions for non-quadratic second order Hamiltonian systems, Infinitely many periodic solutions for asymptotically linear Hamiltonian systems, Existence and multiplicity of periodic solutions for a class of second-order Hamiltonian systems, Some notes on a superlinear second order Hamiltonian system, Periodic solutions for a class of superquadratic Hamiltonian systems, Subharmonic solutions for a class of non-quadratic second order Hamiltonian systems, Three periodic solutions for \(p\)-Hamiltonian systems, Periodic solutions for some nonautonomous \(p(t)\)-Laplacian hamiltonian systems., Notes on nontrivial multiple periodic solutions for second-order discrete Hamiltonian system, Infinitely many periodic solutions for nonautonomous sublinear second-order Hamiltonian systems, Periodic solutions for some nonautonomous second order Hamiltonian systems, Non-autonomous second order Hamiltonian systems, Existence and subharmonicity of solutions for nonlinear non-smooth periodic systems with a \(p\)-Laplacian, Existence of periodic solutions for second-order Hamiltonian systems with asymptotically linear conditions, EXISTENCE OF PERIODIC SOLUTIONS FOR HAMILTONIAN SYSTEMS WITH SUPER-LINEAR AND SIGN-CHANGING NONLINEARITIES, Nonconstant periodic solutions for a class of ordinary \(p\)-Laplacian systems, Existence of subharmonic solutions for non-quadratic second-order Hamiltonian systems, Multiple periodic solutions for superquadratic second-order discrete Hamiltonian systems, Periodic solutions for a class of nonautonomous second order Hamiltonian systems, Existence and multiplicity of solutions for a class of elliptic boundary value problems, Periodic and subharmonic solutions for a class of second-order \( p\)-Laplacian Hamiltonian systems, New existence of periodic solutions for second order non-autonomous Hamiltonian systems, Subharmonic and homoclinic solutions for second order Hamiltonian systems with new superquadratic conditions, Subharmonic solutions for a class of ordinary \(p\)-Laplacian systems, Multiplicity of periodic solutions for second order Hamiltonian systems with asymptotically quadratic conditions, Existence of infinitely many periodic solutions for ordinary \(p\)-Laplacian systems, Periodic solutions of second order non-autonomous Hamiltonian systems with local superquadratic potential, A periodic solution for a second-order asymptotically linear Hamiltonian system, Periodic and subharmonic solutions for a class of superquadratic second order Hamiltonian systems, Periodic and subharmonic solutions for a class of the second-order Hamiltonian systems with impulsive effects
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Critical point theorems for indefinite functionals
- Critical point theory and Hamiltonian systems
- Large-amplitude subharmonic oscillations for scalar second-order differential equations with asymmetric nonlinearities
- Applications of local linking to critical point theory
- Subharmonic solutions of second order subquadratic Hamiltonian systems with potential changing sign
- Abstract critical point theorems and applications to some nonlinear problems with “strong” resonance at infinity
- Multiple Solutions of Perturbed Superquadratic Second Order Hamiltonian Systems
- On subharmonic solutions of hamiltonian systems
- Some critical point theorems and applications
- Remarks on subharmonics with minimal periods on Hamiltonian systems
- Periodic solutions of hamiltonian systems
- Subharmonic oscillations with prescribed minimal period for a class of hamiltonian systems