RT Journal Article
T1 Existence and uniqueness of Carathéodory and Filippov solutions for discontinuous systems of differential equations
A1 López Pouso, Rodrigo
A1 Rodríguez López, Jorge
K1 Discontinuous differential equations
K1 Carathéodory solutions
K1 Filippov solutions
K1 Differential inclusions
AB We use essential limits inferior and superior of the nonlinear part of a discontinuous ODE to introduce some novel transversality conditions which imply that Filippov solutions are Carathéodory solutions. We also prove some uniqueness criteria based on different Lipschitz conditions on different parts of the domain separated from one another by boundaries which satisfy certain transversality conditions.
PB University of Szeged
SN 1417-3875
YR 2024
FD 2024
LK https://hdl.handle.net/10347/44612
UL https://hdl.handle.net/10347/44612
LA eng
NO López Pouso, R., Rodríguez-López, J., (2024) Existence and uniqueness of Carathéodory and Filippov solutions for discontinuous systems of differential equations. "Electron. J. Qual. Theory Differ. Equ.", 50, 1-19. DOI: https://doi.org/10.14232/ejqtde.2024.1.50
DS Minerva
RD 28 abr 2026