Detail publikace

Lower and upper estimates of semi-global and global solutions to mixed-type functional differential equations

DIBLÍK, J. VÁŽANOVÁ, G.

Originální název

Lower and upper estimates of semi-global and global solutions to mixed-type functional differential equations

Typ

článek v časopise ve Web of Science, Jimp

Jazyk

angličtina

Originální abstrakt

In the paper, nonlinear systems of mixed-type functional differential equations are analyzed and the existence of semi-global and global solutions is proved. In proofs, the monotone iterative technique and Schauder-Tychonov fixed-point theorem are used. In addition to proving the existence of global solutions, estimates of their co-ordinates are derived as well. Linear variants of results are considered and the results are illustrated by selected examples.

Klíčová slova

Mixed-type functional differential equation; delayed argument; advanced argument; semi-global solution; global solution; monotone iterative method; fixed-point theorem

Autoři

DIBLÍK, J.; VÁŽANOVÁ, G.

Vydáno

14. 2. 2022

Nakladatel

De Gruyter

ISSN

2191-950X

Periodikum

Advances in Nonlinear Analysis

Ročník

11

Číslo

1

Stát

Spolková republika Německo

Strany od

757

Strany do

784

Strany počet

28

URL

https://www.degruyter.com/document/doi/10.1515/anona-2021-0218/html

Plný text v Digitální knihovně

http://hdl.handle.net/11012/203912

BibTex

@article{BUT176559,
  author="Josef {Diblík} and Gabriela {Vážanová}",
  title="Lower and upper estimates of semi-global and global solutions to mixed-type functional differential equations",
  journal="Advances in Nonlinear Analysis",
  year="2022",
  volume="11",
  number="1",
  pages="757--784",
  doi="10.1515/anona-2021-0218",
  issn="2191-950X",
  url="https://www.degruyter.com/document/doi/10.1515/anona-2021-0218/html"
}