RT Journal Article
T1 A Birkhoff–Kellogg type theorem for discontinuous operators with applications
A1 Calamai, Alessandro
A1 Infante, Gennaro
A1 Rodríguez López, Jorge
K1 Nontrivial solutions
K1 Wedge
K1 Birkhoff–Kellogg type result
K1 Multivalued map
K1 Discontinuous differential equation
K1 Deviated argument
AB By means of fixed point index theory for multivalued 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 detail 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
PB Springer
YR 2024
FD 2024-07-01
LK https://hdl.handle.net/10347/44608
UL https://hdl.handle.net/10347/44608
LA eng
NO Calamai, A., Infante, G. & Rodríguez-López, J. A Birkhoff–Kellogg Type Theorem for Discontinuous Operators with Applications. Mediterr. J. Math. 21, 149 (2024). https://doi.org/10.1007/s00009-024-02692-3
NO Xunta de Galicia, Grant ED431C 2023/12
NO Research project of MIUR (Italian Ministry of Education, University and Research) Prin 2022 “Nonlinear differential problems with applications to real phenomena” (Grant No. 2022ZXZTN2)
DS Minerva
RD 5 may 2026