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

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2022-02-14
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10.1515/anona-2021-0218
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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.
Keywords
Mixed-type functional differential equation, delayed argument, advanced argument, semi-global solution, global solution, monotone iterative method, fixed-point theorem
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http://hdl.handle.net/11012/203912
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Peer reviewed
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Advances in Nonlinear Analysis. 2022, vol. 11, issue 1, p. 757-784.
https://www.degruyter.com/document/doi/10.1515/anona-2021-0218/html
DOI
10.1515/anona-2021-0218
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Creative Commons Attribution 4.0 International
Except where otherwise noted, this item's license is described as Creative Commons Attribution 4.0 International