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arXiv · 1507.08124

A Schauder-type theorem for discontinuous operators with applications to second-order BVPs

Rubén Figueroa·Gennaro Infante
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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.

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Rubén Figueroa, Gennaro Infante. 2015-07-29. A Schauder-type theorem for discontinuous operators with applications to second-order BVPs. https://doi.org/10.1186/s13663-016-0547-y

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