Email this article Dichotomy on Semiaxes and the Solutions of Linear Systems with Delay Bounded on the Entire Axis
- Authors: Boichuk A.A.1, Zhuravlev V.F.2
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Affiliations:
- Institute of Mathematics, Ukrainian National Academy of Sciences
- Zhytomyr National Agricultural-Ecological University
- Issue: Vol 220, No 4 (2017)
- Pages: 377-393
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/238848
- DOI: https://doi.org/10.1007/s10958-016-3190-6
- ID: 238848
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Abstract
By using the theory of generalized inverse operators, we obtain a criterion for the existence and the general form of solutions of linear inhomogeneous functional-differential systems with delay bounded on the entire real axis in the case where the corresponding homogeneous system with delay is exponentially dichotomous on the semiaxes.
About the authors
A. A. Boichuk
Institute of Mathematics, Ukrainian National Academy of Sciences
Email: Jade.Santos@springer.com
Ukraine, Tereshchenkivs’ka Str., 3, Kyiv, 01601
V. F. Zhuravlev
Zhytomyr National Agricultural-Ecological University
Email: Jade.Santos@springer.com
Ukraine, Staryi Avenue, 7, Zhytomyr, 10008
