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.
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\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. |
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