The existence of solutions for the Dirichlet problem associated with bounded perturbations of positively-(p, q)-homogeneous Hamiltonian systems is considered both in nonresonant and resonant situations. To deal with the resonant case, the existence of a couple of lower and upper solutions is assumed. Both the well-ordered and the non-well-ordered cases are analysed. The proof is based on phase-plane analysis and topological degree theory.
On the Dirichlet problem associated with bounded perturbations of positively-(p, q)- homogeneous Hamiltonian systems
Klun, G;Sfecci, A
2022-01-01
Abstract
The existence of solutions for the Dirichlet problem associated with bounded perturbations of positively-(p, q)-homogeneous Hamiltonian systems is considered both in nonresonant and resonant situations. To deal with the resonant case, the existence of a couple of lower and upper solutions is assumed. Both the well-ordered and the non-well-ordered cases are analysed. The proof is based on phase-plane analysis and topological degree theory.File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
FKOS_12.pdf
non disponibili
Licenza:
Non pubblico
Dimensione
479.25 kB
Formato
Adobe PDF
|
479.25 kB | Adobe PDF | Visualizza/Apri Richiedi una copia |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
