Degree theory for discontinuous operators
Classical Analysis and ODEs
2017-01-10 v1
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.
Cite
@article{arxiv.1701.02260,
title = {Degree theory for discontinuous operators},
author = {Rubén Figueroa and Rodrigo López Pouso and Jorge Rodríguez López},
journal= {arXiv preprint arXiv:1701.02260},
year = {2017}
}