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.
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 in questo prodotto:
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