Dealing with a forced system ruled by a positively-(p, q)-homogeneous Hamiltonian function and a friction term, we propose a nonresonance condition in order to generalize a classical result by Frederickson and Lazer. We are thus able to treat both the periodic problem and the boundedness problem. In particular, our results apply to scalar p-Laplacian equations with asymmetric nonlinearities.
Perturbed positively-(p, q)-homogeneous Hamiltonian systems with Frederickson–Lazer conditions / Fonda, A.; Mamo, N. G.; Sfecci, A.; Ullah, W.. - In: RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO. - ISSN 0009-725X. - 74:(2025), pp. 67.--67.-. [10.1007/s12215-024-01162-9]
Perturbed positively-(p, q)-homogeneous Hamiltonian systems with Frederickson–Lazer conditions
Fonda A.
Primo
;Mamo N. G.Secondo
;Sfecci A.Penultimo
;Ullah W.Ultimo
2025-01-01
Abstract
Dealing with a forced system ruled by a positively-(p, q)-homogeneous Hamiltonian function and a friction term, we propose a nonresonance condition in order to generalize a classical result by Frederickson and Lazer. We are thus able to treat both the periodic problem and the boundedness problem. In particular, our results apply to scalar p-Laplacian equations with asymmetric nonlinearities.| File | Dimensione | Formato | |
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