CIMA UÉvora Online here - First-order non-linear coupled systems - Existence and localization of periodic solutions

12/05/2023 - 15h - CLAV Anfiteatro 1

Sara Perestrelo, Universidade de Évora

We present some existence and localization results for periodic solutions of first-order coupled non-linear systems of two equations, with and without impulses, without requiring periodicity for the non-linearities. The arguments are based on Schauder’s Fixed Point Theorem together with the upper and lower solution method, where the upper and lower solutions are not necessarily well-ordered. In addition, results on equi-regulated functions are required for the impulsive analysis. To test our results to a real-case scenario, we apply our results to a Wilson-Cowan system of two strongly coupled neurons.