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A Schauder-type theorem for discontinuous operators with applications to second-order BVPs (1507.08124v1)
Published 29 Jul 2015 in math.CA
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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