We investigate the existence of solutions to second order scalar differential equations with asymmetric nonlinearities, subject to antiperiodic boundary conditions. Both resonance and nonresonance cases are examined, with the Landesman–Lazer conditions imposed in the resonant setting. The proofs rely on topological degree theory.
Antiperiodic Solutions for Nonlinear Asymmetric Equations Near Resonance / Fonda, Alessandro; Mamo, Natnael Gezahegn; Sfecci, Andrea; Ullah, Wahid. - In: QUALITATIVE THEORY OF DYNAMICAL SYSTEMS. - ISSN 1575-5460. - STAMPA. - 24:6(2025), pp. 260.1-260.24. [10.1007/s12346-025-01419-3]
Antiperiodic Solutions for Nonlinear Asymmetric Equations Near Resonance
Fonda, Alessandro;Mamo, Natnael Gezahegn;Sfecci, Andrea
;Ullah, Wahid
2025-01-01
Abstract
We investigate the existence of solutions to second order scalar differential equations with asymmetric nonlinearities, subject to antiperiodic boundary conditions. Both resonance and nonresonance cases are examined, with the Landesman–Lazer conditions imposed in the resonant setting. The proofs rely on topological degree theory.File in questo prodotto:
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