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<p>We prove a multiplicity result for the periodic problem associated with a Hamiltonian system whose Hamiltonian function has a twisting part and a nonresonant part. The possible approach to resonance together with some kind of Landesman–Lazer conditions is also analyzed. We propose a new version of this condition, and we also treat the so-called <i>double resonance</i> situation.</p>

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Multiplicity of Periodic Solutions for Nearly Resonant Hamiltonian Systems

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年3月5日

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  • Alessandro Fonda,
  • Andrea Sfecci,
  • Rodica Toader

摘要

We prove a multiplicity result for the periodic problem associated with a Hamiltonian system whose Hamiltonian function has a twisting part and a nonresonant part. The possible approach to resonance together with some kind of Landesman–Lazer conditions is also analyzed. We propose a new version of this condition, and we also treat the so-called double resonance situation.