RT Journal Article
T1 On discontinuous differential equations and the method of solution regions
A1 Rodríguez López, Jorge
K1 Discontinuous differential equations
K1 Solution regions
K1 Upper and lower solutions
AB We adapt the method of solution regions to prove new existence and localization results for systems of discontinuous differential equations. Some assumptions concerning the definition of a solution region are relaxed and thus our results enlarge the applicability of this method even in the case of Carathéodory nonlinearities. Several examples are provided to illustrate the theory.
PB Elsevier
SN 0022-247X
YR 2025
FD 2025-06-23
LK https://hdl.handle.net/10347/43984
UL https://hdl.handle.net/10347/43984
LA eng
NO Rodríguez-López, J. (2026). On discontinuous differential equations and the method of solution regions. Journal of Mathematical Analysis and Applications, 553(1), 129827. 10.1016/j.jmaa.2025.129827
NO The author was partially supported by Xunta de Galicia (Spain), project ED431C 2019/02 and AEI, Spain and FEDER, grant PID2020-113275GB-I00.
DS Minerva
RD 27 abr 2026