RT Journal Article
T1 A Unified Variational Approach to Discontinuous Differential Equations
A1 Rodríguez López, Jorge
A1 Precup, Radu
K1 Nonsmooth critical point theor
K1 Discontinuous differential equation
K1 Multivalued operator
AB A direct variational technique involving Clarke generalized gradient is used to treat general boundary value problems with discontinuous nonlinearities. Based on the theory of positive definite symmetric operators it is established the nonsmooth variational form of the regularized inclusions which give the Filippov solutions of the discontinuous problems. These solutions reduce to classical solutions in case that a transversality condition on the set of discontinuities is satisfied. The results apply to a wide class of concrete boundary value problems of different orders. Two illustrative examples are given.
PB Springer
SN 1660-5446
YR 2021
FD 2021
LK https://hdl.handle.net/10347/44613
UL https://hdl.handle.net/10347/44613
LA eng
NO Precup, R., Rodríguez-López, J. A Unified Variational Approach to Discontinuous Differential Equations. Mediterr. J. Math. 18, 62 (2021). https://doi.org/10.1007/s00009-021-01705-9
NO Xunta de Galicia
DS Minerva
RD 8 jun 2026