@article{Pouso_Albés_Rodríguez-López_2021, title={Transversality conditions for the existence of solutions of first-order discontinuous functional differential equations}, volume={58}, url={https://apcz.umk.pl/TMNA/article/view/35216}, DOI={10.12775/TMNA.2021.001}, abstractNote={We are concerned with the existence of extremal solutions to a large class of first-order functional differential problems under weak regularity assumptions. Our technique involves multivalued analysis and the method of lower and upper solutions in order to obtain a new existence result to a scalar Cauchy problem. As a consequence of this result and a monotone iterative method for discontinuous operators, we derive our main existence result which is illustrated by several examples concerning well-known models: a generalized logistic equation or second-order problems in the presence of dry friction.}, number={1}, journal={Topological Methods in Nonlinear Analysis}, author={Pouso, Rodrigo López and Albés, Ignacio Márquez and Rodríguez-López, Jorge}, year={2021}, month={Sep.}, pages={1–17} }