Publication result detail

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

DIBLÍK, J.; VÁŽANOVÁ, G.

Original Title

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

English Title

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

Type

WoS Article

Original Abstract

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.

English abstract

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.

Keywords

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

Key words in English

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

Authors

DIBLÍK, J.; VÁŽANOVÁ, G.

RIV year

2022

Released

14.02.2022

Publisher

De Gruyter

ISBN

2191-950X

Periodical

Advances in Nonlinear Analysis

Volume

11

Number

1

State

Federal Republic of Germany

Pages from

757

Pages to

784

Pages count

28

URL

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

Full text in the Digital Library

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="2191-9496",
  url="https://www.degruyter.com/document/doi/10.1515/anona-2021-0218/html"
}

Documents

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