Antiperiodic Solutions for Nonlinear Asymmetric Equations Near Resonance

• Alessandro Fonda ^[1] ; Natnael Gezahegn Mamo ^[1] ; Andrea Sfecci ^[1] ; Wahid Ullah ^[1]
  1. [1] University of Trieste

     University of Trieste

     Trieste, Italia

     
• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 24, Nº 6, 2025
• Idioma: inglés
• Enlaces
  • Texto completo
• Resumen

  • 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.