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A version of Krasnoselskii's compression-expansion fixed point theorem in cones for discontinuous operators with applications

Published 13 Mar 2017 in math.CA | (1703.04510v1)

Abstract: We introduce a new fixed point theorem of Krasnoselskii type for discontinuous operators. As an application we use it to study the existence of positive solutions of a second-order differential problem with separated boundary conditions and discontinuous nonlinearities.

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