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<p>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.</p>

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Antiperiodic Solutions for Nonlinear Asymmetric Equations Near Resonance

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年11月21日

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  • Alessandro Fonda,
  • Natnael Gezahegn Mamo,
  • Andrea Sfecci,
  • Wahid Ullah

摘要

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.