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

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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

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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

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  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

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