Nonnegative solutions for a class of fourth order singular eigenvalue problems

Lydia Bouchal, Karima Mebarki, Svetlin Georgiev Georgiev

Abstract


In this paper, we discuss the existence of nonnegative solutions to a fourth order singular boundary value problem at two points. Our result is based on a recent Birkhoff-Kellogg type fixed point theorem developed on translates of a cone on a Banach space.

Keywords


Fixed point; fourth-order boundary value problem; positive solution; cone

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DOI: http://dx.doi.org/10.24193/subbmath.2024.4.14

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