@misc{10498/35401, year = {2018}, url = {http://hdl.handle.net/10498/35401}, abstract = {In this work, we provide a new and e ective characterization for the existence and uniqueness of solutions for nonlocal time-discrete equations with delays, in the setting of vector-valued Lebesgue spaces of sequences. This characterization is given solely in terms of the R-boundedness of the data of the problem, and in the context of the class of UMD Banach spaces.}, publisher = {Springer}, keywords = {fractional differences}, keywords = {Lebesgue regularity}, keywords = {time-discrete equations}, keywords = {delay}, title = {Lebesgue regularity for nonlocal time-discrete equations with delays}, doi = {10.1515/FCA-2018-0037}, author = {Leal, C. and Lizama, Carlos and Murillo Arcila, Marina}, }