Lower and upper estimates of semi-global and global solutions to mixed-type functional differential equations-Reference-Cited by-同舟云学术

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

Published:2022-01-01 Issue:1 Volume:11 Page:757-784
ISSN:2191-950X
Container-title:Advances in Nonlinear Analysis
language:en
Short-container-title:

Author:

Diblík J.¹²,Vážanová G.²

Affiliation:

1. Brno University of Technology , Faculty of Civil Engineering , Veveří 331/95 , Brno , Czech Republic

2. Brno University of Technology , Faculty of Electrical Engineering and Communication , Technická 2848/10 , , Brno , Czech Republic

Abstract

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.

Publisher

Walter de Gruyter GmbH

Subject

Analysis

Link

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

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