On a Reduction of the Order in a Differential-Algebraic System
- Authors: Chuiko S.M.1
-
Affiliations:
- Donbas State Pedagogical University
- Issue: Vol 235, No 1 (2018)
- Pages: 2-14
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/242036
- DOI: https://doi.org/10.1007/s10958-018-4054-z
- ID: 242036
Cite item
Abstract
The conditions of solvability and the structure of a generalized Green operator of the Cauchy problem for a linear differential-algebraic system are found. The sufficient conditions of reducibility of a differential-algebraic equation to a sequence of systems joining differential and algebraic equations are constructed. An original classification and a single scheme of construction of the solutions of differentialalgebraic equations are proposed.
About the authors
Sergei M. Chuiko
Donbas State Pedagogical University
Author for correspondence.
Email: chujko-slav@inbox.ru
Ukraine, Slavyansk