Analysis reveals second order equations with antiperiodic boundary conditions may exhibit resonance behavior, indicating new solution strategies.
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.
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Fonda et al. (2025) studied this question.
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