Solvability of Cauchy Problem for a Differential-Algebraic System with Concentrated Delay
- Авторы: Chuiko S.1
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Учреждения:
- Donbass State Pedagogical University
- Выпуск: Том 63, № 12 (2019)
- Страницы: 80-95
- Раздел: Article
- URL: https://journals.rcsi.science/1066-369X/article/view/225361
- DOI: https://doi.org/10.3103/S1066369X19120090
- ID: 225361
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Аннотация
We study the Cauchy problem for a linear differential-algebraic system of equations with concentrated delay. Our research continues investigation of solvability of linear Noether boundary value problems for systems of functional-differential equations given in the monographs by A.D. Myshkis, N.V. Azbelev, V.P. Maksimov, L.F. Rakhmatullina, A.M. Samoilenko, and A.A. Boichuk; meanwhile, we use essentially the tool of Moore-Penrose inverse matrices. For a linear differential-algebraic system with concentrated delay, we find sufficient conditions for its solvability and give a construction of generalized Green’s operator for Cauchy’s problem. We also give some examples which illustrate in detail the solvability conditions and the suggested construction.
Об авторах
S. Chuiko
Donbass State Pedagogical University
Автор, ответственный за переписку.
Email: chujko-slav@inbox.ru
Украина, 19 General Batyuk str., Slavyansk, 84116