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 / Marvulli, Rossella; Sfecci, Andrea. - In: ADVANCES IN DIFFERENTIAL EQUATIONS. - ISSN 1079-9389. - 28/2023:3/4(2023), pp. 247-286. [10.57262/ade028-0304-247]
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.| File | Dimensione | Formato | |
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