Antiperiodic Solutions for Nonlinear Asymmetric Equations Near Resonance

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.

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Publication Details

Journal
Qualitative Theory of Dynamical Systems
Published
2025-11-21
DOI
https://doi.org/10.1007/s12346-025-01419-3
Primary Topic
Nonlinear Differential Equations Analysis
Type
article
Field-Weighted Citation Impact
0.00

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article

Antiperiodic Solutions for Nonlinear Asymmetric Equations Near Resonance

Andrea Sfecci, Alessandro Fonda, Wahid Ullah, Natnael Gezahegn Mamo
Qualitative Theory of Dynamical Systems
Nonlinear Differential Equations Analysis
article

Antiperiodic Solutions for Nonlinear Asymmetric Equations Near Resonance

Andrea Sfecci, Alessandro Fonda, Wahid Ullah, Natnael Gezahegn Mamo
article en

Abstract

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.

Qualitative Theory of Dynamical SystemsVol. 24(6)
University of Trieste (IT)
Istituto Nazionale di Alta Matematica "Francesco Severi"
Openalex Percentile: Top 51%
Nonlinear Differential Equations Analysis
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