On the uniqueness of solutions of functional differential equations with nonincreasing right-hand sides
Mathematica Bohemica (1996)
- Volume: 121, Issue: 2, page 113-116
- ISSN: 0862-7959
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topAugustynowicz, Antoni. "On the uniqueness of solutions of functional differential equations with nonincreasing right-hand sides." Mathematica Bohemica 121.2 (1996): 113-116. <http://eudml.org/doc/247963>.
@article{Augustynowicz1996,
abstract = {It is proved that nonincreasing and satisfying the Volterra condition right-hand side of a functional differential equation does not guarantee the uniqueness of solutions.},
author = {Augustynowicz, Antoni},
journal = {Mathematica Bohemica},
keywords = {nonlinear functional differential equations},
language = {eng},
number = {2},
pages = {113-116},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On the uniqueness of solutions of functional differential equations with nonincreasing right-hand sides},
url = {http://eudml.org/doc/247963},
volume = {121},
year = {1996},
}
TY - JOUR
AU - Augustynowicz, Antoni
TI - On the uniqueness of solutions of functional differential equations with nonincreasing right-hand sides
JO - Mathematica Bohemica
PY - 1996
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 121
IS - 2
SP - 113
EP - 116
AB - It is proved that nonincreasing and satisfying the Volterra condition right-hand side of a functional differential equation does not guarantee the uniqueness of solutions.
LA - eng
KW - nonlinear functional differential equations
UR - http://eudml.org/doc/247963
ER -
References
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- J. K. Hale, Theory of Functional Differential Equations, Springer-Verlag, New York, 1977. (1977) Zbl0352.34001MR0508721
- S. Kato, On existence and uniqueness conditions for nonlinear ordinary differential equation in Banach space, Funkcial. Ekvac. 19 (1976), 239-245. (1976) MR0435538
- L. A. Medeiros, 10.1080/00029890.1969.12000396, Amer. Math. Monthly 76 (1969), 1024-1027. (1969) MR0248433DOI10.1080/00029890.1969.12000396
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