Periodic Matrix Boundary-Value Problems with Concentrated Delay
- Authors: Chuiko S.M.1, Sysoev D.V.1
-
Affiliations:
- Donbas State Pedagogic University
- Issue: Vol 243, No 2 (2019)
- Pages: 326-337
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/243094
- DOI: https://doi.org/10.1007/s10958-019-04542-0
- ID: 243094
Cite item
Abstract
We establish necessary and sufficient conditions for the existence of solutions of a linear periodic matrix boundary-value problem for a system of differential equations with concentrated delay in the critical case. We deduce conditions for the existence of the best solution (in a sense of the least-squares method) of the linear periodic matrix boundary-value problem for a system of differential equations with concentrated delay and find this solution.
About the authors
S. M. Chuiko
Donbas State Pedagogic University
Author for correspondence.
Email: chujko-slav@ukr.net
Ukraine, Gen. Batyuk Str., 19, Slavyansk, 84116
D. V. Sysoev
Donbas State Pedagogic University
Email: chujko-slav@ukr.net
Ukraine, Gen. Batyuk Str., 19, Slavyansk, 84116