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arxiv: 1703.04510 · v1 · pith:3CSXEUQMnew · submitted 2017-03-13 · 🧮 math.CA

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

classification 🧮 math.CA
keywords discontinuousfixedkrasnoselskiioperatorspointtheoremapplicationapplications
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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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