| Abstract: |
| In this talk, we present some existence and multiplicity results for Sturm-Liouville problems with either Dirichlet or periodic boundary conditions. Moreover, the problems are parameter-dependent and we provide intervals of parameters for which the problems admit one or multiple solutions. In addition, we offer a link between pure and applied mathematics since the problems considered are used to describe power converters (Dirichlet conditions) or the behavior of a neuron (period conditions). This research is partially supported by PNRR-MAD-2022-12376692 ``AN ARTIFICIAL INTELLIGENCE APPROACH FOR RISK ASSESSMENT AND PREVENTION OF LOW BACK PAIN: TOWARDS PRECISION SPINE CARE`` (XAI-CARE) - CUP: J43C22001510001. |
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