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arXiv · 1701.02260

Degree theory for discontinuous operators

Rubén Figueroa·Rodrigo López Pouso·Jorge Rodríguez López
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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.

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Rubén Figueroa, Rodrigo López Pouso, Jorge Rodríguez López. 2017-01-09. Degree theory for discontinuous operators. https://arxiv.org/abs/1701.02260

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