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DIBLÍK, J. VÁŽANOVÁ, G.
Originální název
Existence of global solutions to nonlinear mixed-type functional differential equations
Typ
článek v časopise ve Web of Science, Jimp
Jazyk
angličtina
Originální abstrakt
The paper considers systems of nonlinear mixed-type functional differential equations. It aims to find conditions for the existence of global solutions with graphs staying in a prescribed domain. A relevant result is proved by Schauder–Tychonoff fixed-point technique with illustrative examples shown. A linear variant of the derived result is formulated, comparisons with known results are discussed and some open problems are formulated.
Klíčová slova
Global solution; Mixed-type functional differential equation; Advance-delay functional differential equation; Schauder–Tychonoff fixed point theorem
Autoři
DIBLÍK, J.; VÁŽANOVÁ, G.
Vydáno
1. 6. 2020
Nakladatel
Elsevier
Místo
PERGAMON-ELSEVIER SCIENCE LTD, THE BOULEVARD, LANGFORD LANE, KIDLINGTON, OXFORD OX5 1GB, ENGLAND
ISSN
0362-546X
Periodikum
Nonlinear Analysis, Theory, Methods and Applications
Ročník
195
Číslo
8
Stát
Spojené království Velké Británie a Severního Irska
Strany od
1
Strany do
22
Strany počet
URL
https://www.sciencedirect.com/science/article/pii/S0362546X19303840?via%3Dihub
BibTex
@article{BUT163719, author="Josef {Diblík} and Gabriela {Vážanová}", title="Existence of global solutions to nonlinear mixed-type functional differential equations", journal="Nonlinear Analysis, Theory, Methods and Applications", year="2020", volume="195", number="8", pages="1--22", doi="10.1016/j.na.2019.111731", issn="0362-546X", url="https://www.sciencedirect.com/science/article/pii/S0362546X19303840?via%3Dihub" }