Document Type
Article
Publication Date
2016
Publication Source
Applicable Analysis and Discrete Mathematics
Abstract
We study the existence of almost automorphic solutions of the delayed neutral dynamic system on hybrid domains that are additively periodic. We use exponential dichotomy and prove uniqueness of projector of exponential dichotomy to obtain some limit results leading to sufficient conditions for existence of almost automorphic solutions to neutral system. Unlike the existing literature we prove our existence results without assuming boundedness of the coefficient matrices in the system. Hence, we significantly improve the results in the existing literature. Finally, we also provide an existence result for an almost periodic solutions of the system.
Inclusive pages
128-151
ISBN/ISSN
1452-8630
Document Version
Published Version
Copyright
Copyright © 2016, The Author(s)
Publisher
Akademska Misao
Volume
10
Issue
1
Peer Reviewed
yes
eCommons Citation
Adıvar, Murat; Koyuncuoğlu, Halis Can; and Raffoul, Youssef, "Almost Automorphic Solutions of Delayed Neutral Dynamic Systems on Hybrid Domains" (2016). Mathematics Faculty Publications. 79.
https://ecommons.udayton.edu/mth_fac_pub/79
COinS
Comments
This document has been made available for download in accordance with the publisher's open-access policy.
It is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
DOI: https://doi.org/10.2298/AADM160402006A
Permission documentation on file.