DOI: 10.24193/fpt-ro.2021.1.10

Authors: Rubén Figueroa, Rodrigo López Pouso, Jorge Rodrı́guez–López

Abstract: We introduce a new definition of topological degree for a meaningful class of operators which need not be continuous. Subsequently, we derive a number of fixed point theorems for such operators. As an application, we deduce a new existence result for first-order ODEs with discontinuous nonlinearities.

Key Words and Phrases: Degree theory, Leray-Schauder degree, Discontinuous differential equations.

2010 Mathematics Subject Classification: 47H11, 34A12, 34A36, 47H10.

Published on-line: February 1st, 2021.

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