Existence theory for first order discontinuous functional differential equations

@inproceedings{Liz2002ExistenceTF,
  title={Existence theory for first order discontinuous functional differential equations},
  author={Eduardo Liz and Rodrigo L{\'o}pez Pouso},
  year={2002}
}
We prove the existence of extremal solutions for a first order functional differential equation subject to nonlinear boundary conditions of functional type. Moreover, the functions that define our problem are allowed to be discontinuous. The proof of our main result is based on a generalized iterative technique.