We present multiplicity results for the periodic and Neumann-type boundary value problems associated with coupled Hamiltonian systems. For the periodic problem, we couple a system having twist condition with another one whose nonlinearity lies between the gradients of two positive and positively 2-homogeneous Hamiltonain functions. Concerning the Neumann-type problem, we treat the same system without any twist assumption. We examine the cases of nonresonance, simple resonance, and double resonance by imposing some kind of Landesman–Lazer conditions.
Landesman–Lazer-Type Conditions for Systems Involving Twist and Positively Homogeneous Hamiltonian Systems / Mamo, N. G.; Ullah, W.. - In: DIFFERENTIAL EQUATIONS AND DYNAMICAL SYSTEMS. - ISSN 0971-3514. - (2025), pp. ---. [Epub ahead of print] [10.1007/s12591-025-00732-2]
Landesman–Lazer-Type Conditions for Systems Involving Twist and Positively Homogeneous Hamiltonian Systems
Mamo N. G.;Ullah W.
2025-01-01
Abstract
We present multiplicity results for the periodic and Neumann-type boundary value problems associated with coupled Hamiltonian systems. For the periodic problem, we couple a system having twist condition with another one whose nonlinearity lies between the gradients of two positive and positively 2-homogeneous Hamiltonain functions. Concerning the Neumann-type problem, we treat the same system without any twist assumption. We examine the cases of nonresonance, simple resonance, and double resonance by imposing some kind of Landesman–Lazer conditions.Pubblicazioni consigliate
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