Special Session 109: Differential, Difference, and Integral Equations: Techniques and Applications

Semi-linear impulsive higher-order coupled systems with generalized impulsive effects

Feliz M Minhos
University of Evora
Portugal
Co-Author(s):    Gracino Rodrigues
Abstract:
In this talk we present sufficient conditions for the solvability of a second-order coupled system, composed of two differential equations involving different Laplacians applied to fully discontinuous nonlinearities, two-point boundary conditions, and generalized impulsive effects. Applying the lower and upper solutions technique and Schauder`s fixed point theorem, it is obtained as an existence and localization theorem, based on local monotone properties on the nonlinearities and the impulsive functions. \bigskip \textbf{Acknowledgement} This research was supported by national funds through Funda\c{c}\~{a}o para a Ci\^{e}ncia e Tecnologia, FCT, under the project \newline https://doi.org/10.54499/UIDB/04674/2020.