Special Session 105: Nonlinear Differential Problems on Flat and Curved Structures: Variational and Topological Methods
Existence results for nonlinear differential problems and applications to neural networks
Giuseppina D`Agui
University of Messina
Italy
Co-Author(s):    
Abstract:
This talk concerns results on the existence of positive solutions to boundary value problems for ordinary differential equations. In particular, we show the existence of a periodic weak solution to a nonlinear parametric differential problem using variational methods. The core approach is based on critical point theorems, with particular emphasis on a recently developed non-zero local minimum theorem. The results presented are part of the research carried out within the project: PNRR-MAD-2022-12376692- PNRR-Missione 6 - Componente 2 Investimento 2.1 Valorizzazione e Potenziamento della Ricerca Biomedica del SSN
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