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math.CA2023
A hybrid Krasnosel'skiĭ-Schauder fixed point theorem for systems
Gennaro Infante, Giovanni Mascali, Jorge Rodríguez-López
We provide new results regarding the localization of the solutions of nonlinear operator systems. We make use of a combination of Krasnosel'ski\uı cone compression-expansion type m…
math.CA2023
On discontinuous differential equations and the method of solution-regions
Jorge Rodríguez-López
We adapt the method of solution regions to prove new existence and localization results for systems of discontinuous differential equations. Some assumptions concerning the definit…