A Schauder-type theorem for discontinuous operators with applications to second-order BVPs
Classical Analysis and ODEs
2016-05-11 v1
Abstract
We prove a new fixed point theorem of Schauder-type which applies to discontinuous operators in non-compact domains. In order to do so, we present a modification of a recent Schauder-type theorem due to Pouso. We apply our result to second-order boundary value problems with discontinuous nonlinearities. We include an example to illustrate our theory.
Cite
@article{arxiv.1507.08124,
title = {A Schauder-type theorem for discontinuous operators with applications to second-order BVPs},
author = {Rubén Figueroa and Gennaro Infante},
journal= {arXiv preprint arXiv:1507.08124},
year = {2016}
}
Comments
10 pages