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Friday, September 18
Virtual UD Mathematics Seminar
03:35 PM - 04:35 PM
Location: Online

Positive Solutions of a Boundary Value Problem at Resonance

Jeffrey Neugebauer, Eastern Kentucky University

Abstract: In this talk, we will employ a shift method to study a boundary value problem that is at resonance. By proving the associated differential operator satisfies a maximum principle, we show the Green’s function of the shifted BVP is nonpositive. Upper and lower solutions and fixed point methods are used to show the existence of solutions of the shifted BVP.

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