Dichotomy on Semiaxes and the Solutions of Linear Systems with Delay Bounded on the Entire Axis
- Авторы: Boichuk A.1, Zhuravlev V.2
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Учреждения:
- Institute of Mathematics, Ukrainian National Academy of Sciences
- Zhytomyr National Agricultural-Ecological University
- Выпуск: Том 220, № 4 (2017)
- Страницы: 377-393
- Раздел: 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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Аннотация
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.
Об авторах
A. Boichuk
Institute of Mathematics, Ukrainian National Academy of Sciences
Email: Jade.Santos@springer.com
Украина, Tereshchenkivs’ka Str., 3, Kyiv, 01601
V. Zhuravlev
Zhytomyr National Agricultural-Ecological University
Email: Jade.Santos@springer.com
Украина, Staryi Avenue, 7, Zhytomyr, 10008