In this paper, we provide an existence result for a scalar di erential equation ruled by a nonlinearity near resonance presenting a one-sided superlinear condition. The result is achieved by the introduction of a suitable Landesman-Lazer type condition. The main theorem can be extended also to the case of equations with a singularity. The proof is given by using a shooting method technique.

LANDESMAN-LAZER TYPE CONDITIONS FOR SCALAR ONE-SIDED SUPERLINEAR NONLINEARITIES WITH NEUMANN BOUNDARY CONDITIONS

Andrea Sfecci
2023-01-01

Abstract

In this paper, we provide an existence result for a scalar di erential equation ruled by a nonlinearity near resonance presenting a one-sided superlinear condition. The result is achieved by the introduction of a suitable Landesman-Lazer type condition. The main theorem can be extended also to the case of equations with a singularity. The proof is given by using a shooting method technique.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11368/3032658
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