Existence and uniqueness theorem for state-dependent delay-differential equations of neutral type is given. This theorem generalizes previous results by Grimm and the author.
@article{118727,
author = {Zdzis\l aw Jackiewicz},
title = {A note on existence and uniqueness of solutions of neutral functional-differential equations with state-dependent delays},
journal = {Commentationes Mathematicae Universitatis Carolinae},
volume = {36},
year = {1995},
pages = {15-17},
zbl = {0920.34064},
mrnumber = {1334409},
language = {en},
url = {http://dml.mathdoc.fr/item/118727}
}
Jackiewicz, Zdzisław. A note on existence and uniqueness of solutions of neutral functional-differential equations with state-dependent delays. Commentationes Mathematicae Universitatis Carolinae, Tome 36 (1995) pp. 15-17. http://gdmltest.u-ga.fr/item/118727/
Existence and continuous dependence for a class of nonlinear neutral- differential equations, Proc. Amer. Math. Soc. 29 (1971), 467-473. (1971) | MR 0287117 | Zbl 0222.34061
Existence and uniqueness of solutions of neutral delay-differential equations with state-dependent delays, Funkcial. Ekvac. 30 (1987), 9-17. (1987) | MR 0915257 | Zbl 0631.34006