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
An affine Birkhoff–Kellogg-type result in cones with applications to functional differential equations / Calamai, A.; Infante, G.. - In: MATHEMATICAL METHODS IN THE APPLIED SCIENCES. - ISSN 0170-4214. - STAMPA. - 46:11(2023), pp. 11897-11905. [10.1002/mma.8665]
An affine Birkhoff–Kellogg-type result in cones with applications to functional differential equations
Calamai A.;Infante G.
2023-01-01
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 exampleFile in questo prodotto:
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