RT Journal Article
T1 Degree theory for discontinuous operators
A1 Figueroa Sestelo, Rubén
A1 López Pouso, Rodrigo
A1 Rodríguez López, Jorge
K1 Degree theory
K1 Leray-Schauder degree
K1 Discontinuous differential equations
AB We introduce a new definition of topological degree for a meaningful class of operators which need not be continuous. Subsequently, we derive a number of fixed point theorems for such operators. As an application, we deduce a new existence result for first–order ODEs with discontinuous nonlinearities.
PB House of the Book of Science Cluj-Napoca
SN 10.24193/fpt-ro.2021.1.10
YR 2021
FD 2021
LK https://hdl.handle.net/10347/44824
UL https://hdl.handle.net/10347/44824
LA eng
NO Figueroa, R., López, R., Rodríguz-López, J. (2021). Degree theory for discontinuous operators. Fixed Point Theory, 22(1), 141-156
NO Rodrigo Lopez Pouso was partially supported by Ministerio de Economıa y Competitividad, Spain, and FEDER, Project MTM2016-75140-P, and Xunta de Galicia ED341D R2016/022 and GRC2015/004. Jorge Rodriguez-Lopez was financially supported by Xunta de Galicia under grant ED481A-2017/178.
DS Minerva
RD 28 abr 2026