RT Journal Article
T1 A Lipschitz condition along a transversal foliation implies local uniqueness for ODEs
A1 Cid, José Ángel
A1 Fernández Tojo, Fernando Adrián
K1 Uniqueness
K1 Lipschitz condition
K1 Foliation
K1 Modulus of continuity
K1 Rotation formula
AB We prove the following result: if a continuous vector field F is Lipschitz when restricted to the hypersurfaces determined by a suitable foliation and a transversal condition is satisfied at the initial condition, then F determines a locally unique integral curve. We also present some illustrative examples and sufficient conditions in order to apply our main result
PB University of Szeged
YR 2018
FD 2018
LK http://hdl.handle.net/10347/19946
UL http://hdl.handle.net/10347/19946
LA eng
NO Cid, J., & Tojo, F. (2018). A Lipschitz condition along a transversal foliation implies local uniqueness for ODEs. Electronic Journal Of Qualitative Theory Of Differential Equations, (13), 1-14. doi: 10.14232/ejqtde.2018.1.13
NO Partially supported by Xunta de Galicia (Spain), project EM2014/032 (both authors) and MINECO, project MTM2017-85054-C2-1-P (first author)
DS Minerva
RD 23 abr 2026