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arXiv · 2205.06509

An affine Birkhoff--Kellogg type result in cones with applications to functional differential equations

Alessandro Calamai·Gennaro Infante
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Abstract

In this short note we prove, by means of classical fixed point index, an affine version of a Birkhoff--Kellogg type theorem in cones. We apply our result to discuss the solvability of a class of boundary value problems for functional differential equations subject to functional boundary conditions. We illustrate our theoretical results in an example.

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Alessandro Calamai, Gennaro Infante. 2022-05-13. An affine Birkhoff--Kellogg type result in cones with applications to functional differential equations. https://doi.org/10.1002/mma.8665

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