We characterize existence and uniqueness of solutions for an inhomogeneous abstract delay equation in Hölder spaces. The main tool is the theory of operator-valued Fourier multipliers.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-sm175-1-6,
author = {Carlos Lizama and Ver\'onica Poblete},
title = {Maximal regularity of delay equations in Banach spaces},
journal = {Studia Mathematica},
volume = {173},
year = {2006},
pages = {91-102},
zbl = {1112.34065},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm175-1-6}
}
Carlos Lizama; Verónica Poblete. Maximal regularity of delay equations in Banach spaces. Studia Mathematica, Tome 173 (2006) pp. 91-102. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm175-1-6/