A note on existence and uniqueness of solutions of neutral functional-differential equations with state-dependent delays

Zdzisław Jackiewicz

Commentationes Mathematicae Universitatis Carolinae (1995)

  • Volume: 36, Issue: 1, page 15-17
  • ISSN: 0010-2628

Abstract

top
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.

How to cite

top

Jackiewicz, Zdzisław. "A note on existence and uniqueness of solutions of neutral functional-differential equations with state-dependent delays." Commentationes Mathematicae Universitatis Carolinae 36.1 (1995): 15-17. <http://eudml.org/doc/247764>.

@article{Jackiewicz1995,
abstract = {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.},
author = {Jackiewicz, Zdzisław},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {functional-differential equation; existence and uniqueness of solutions; existence; uniqueness; state-dependent delay-differential equations; neutral},
language = {eng},
number = {1},
pages = {15-17},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {A note on existence and uniqueness of solutions of neutral functional-differential equations with state-dependent delays},
url = {http://eudml.org/doc/247764},
volume = {36},
year = {1995},
}

TY - JOUR
AU - Jackiewicz, Zdzisław
TI - A note on existence and uniqueness of solutions of neutral functional-differential equations with state-dependent delays
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1995
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 36
IS - 1
SP - 15
EP - 17
AB - 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.
LA - eng
KW - functional-differential equation; existence and uniqueness of solutions; existence; uniqueness; state-dependent delay-differential equations; neutral
UR - http://eudml.org/doc/247764
ER -

References

top
  1. Grimm L.J., Existence and continuous dependence for a class of nonlinear neutral- differential equations, Proc. Amer. Math. Soc. 29 (1971), 467-473. (1971) Zbl0222.34061MR0287117
  2. Jackiewicz Z., Existence and uniqueness of solutions of neutral delay-differential equations with state-dependent delays, Funkcial. Ekvac. 30 (1987), 9-17. (1987) Zbl0631.34006MR0915257

NotesEmbed ?

top

You must be logged in to post comments.