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

Autor:	Gennaro Infante, Alessandro Calamai
Rok vydání:	2022
Předmět:	Mathematics - Classical Analysis and ODEs General Mathematics Classical Analysis and ODEs (math.CA) FOS: Mathematics General Engineering Primary 47H10 secondary 34K10 34B10 34B18
Zdroj:	Mathematical Methods in the Applied Sciences.
ISSN:	1099-1476 0170-4214
DOI:	10.1002/mma.8665
Popis:	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. Comment: 11 pages
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c706b0d713b28348e0a2518b2bee2075 https://doi.org/10.1002/mma.8665 Zobrazit plný text záznamu Plný text