First-order periodic coupled systems with generalized impulse conditions
- Sara Perestrelo
, - Feliz Minhós
Abstract
We present some existence and localization results for periodic
solutions of impulsive first-order coupled non-linear systems of two
equations, without requiring periodicity for the nonlinearities. 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. An application to a
Wilson-Cowan system of two strongly coupled neurons illustrates one of
the main results.30 Aug 2023Submitted to Mathematical Methods in the Applied Sciences 30 Aug 2023Submission Checks Completed
30 Aug 2023Assigned to Editor
05 Sep 2023Review(s) Completed, Editorial Evaluation Pending
12 Sep 2023Reviewer(s) Assigned
12 Mar 20241st Revision Received
14 Mar 2024Submission Checks Completed
14 Mar 2024Assigned to Editor
17 Mar 2024Reviewer(s) Assigned
