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

Diblík, Josef; Vážanová, Gabriela

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

Files

10.1515_anona20210218.pdf(862.71 KB)

Date

2022-02-14

Authors

Diblík, Josef

Vážanová, Gabriela

ORCID

0000-0001-5009-316X

0000-0001-5327-9218

Publisher

De Gruyter

Altmetrics

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

Citation

Advances in Nonlinear Analysis. 2022, vol. 11, issue 1, p. 757-784.
https://www.degruyter.com/document/doi/10.1515/anona-2021-0218/html

Document type

Peer-reviewed

Document version

Published version

Language of document

en

Document licence

Creative Commons Attribution 4.0 International
http://creativecommons.org/licenses/by/4.0/