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

Thumbnail Image
Files
10.1515_anona20210218.pdf(862.71 KB)
Date
2022-02-14
Authors
ORCID
Advisor
Referee
Mark
Journal Title
Journal ISSN
Volume Title
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.
Description
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
Date of access to the full text
Language of document
en
Study field
Comittee
Date of acceptance
Defence
Result of defence
Document licence
Creative Commons Attribution 4.0 International
http://creativecommons.org/licenses/by/4.0/
DOI
10.1515/anona-2021-0218
URI
http://hdl.handle.net/11012/203912
Collections
Ústav matematiky a deskriptivní geometrie
Ústav matematiky
Citace PRO