An affine Birkhoff--Kellogg type result in cones with applications to functional differential equations
Classical Analysis and ODEs
2022-11-03 v1
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.
Keywords
Cite
@article{arxiv.2205.06509,
title = {An affine Birkhoff--Kellogg type result in cones with applications to functional differential equations},
author = {Alessandro Calamai and Gennaro Infante},
journal= {arXiv preprint arXiv:2205.06509},
year = {2022}
}
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11 pages