A Birkhoff-Kellogg type theorem for discontinuous operators with applications
Fuente:
arXiv
Salvato in:
| Autori principali: | , , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2024
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866913546083762176 |
|---|---|
| author | Calamai, Alessandro Infante, Gennaro Rodríguez-López, Jorge |
| author_facet | Calamai, Alessandro Infante, Gennaro Rodríguez-López, Jorge |
| contents | By means of fixed point index theory for multi-valued maps, we provide an analogue of the classical Birkhoff--Kellogg Theorem in the context of discontinuous operators acting on affine wedges in Banach spaces. Our theory is fairly general and can be applied, for example, to eigenvalues and parameter problems for ordinary differential equations with discontinuities. We illustrate in details this fact for a class of second order boundary value problem with deviated arguments and discontinuous terms. In a specific example, we explicitly compute the terms that occur in our theory. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_16050 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A Birkhoff-Kellogg type theorem for discontinuous operators with applications Calamai, Alessandro Infante, Gennaro Rodríguez-López, Jorge Classical Analysis and ODEs Functional Analysis Primary 47H10, secondary 34A36, 34K10, 47H05, 47H11, 47H30, 54H25 By means of fixed point index theory for multi-valued maps, we provide an analogue of the classical Birkhoff--Kellogg Theorem in the context of discontinuous operators acting on affine wedges in Banach spaces. Our theory is fairly general and can be applied, for example, to eigenvalues and parameter problems for ordinary differential equations with discontinuities. We illustrate in details this fact for a class of second order boundary value problem with deviated arguments and discontinuous terms. In a specific example, we explicitly compute the terms that occur in our theory. |
| title | A Birkhoff-Kellogg type theorem for discontinuous operators with applications |
| topic | Classical Analysis and ODEs Functional Analysis Primary 47H10, secondary 34A36, 34K10, 47H05, 47H11, 47H30, 54H25 |
| url | https://arxiv.org/abs/2401.16050 |