Lower and upper estimates of semi-global and global solutions to mixed-type functional differential equations
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Date
2022-02-14
Authors
Diblík, Josef
Vážanová, Gabriela
0000-0001-5009-316XAdvisor
Referee
Mark
Journal Title
Journal ISSN
Volume Title
Publisher
De Gruyter
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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.
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.
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, 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
https://www.degruyter.com/document/doi/10.1515/anona-2021-0218/html
Document type
Peer-reviewed
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Published version
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Language of document
en