Email this article Multipoint Boundary Value Problem for the Lyapunov Equation in the Case of Weak Degeneration of the Boundary Conditions
- Authors: Bondarev A.N.1, Laptinskii V.N.2
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Affiliations:
- Belarusian-Russian University
- Institute of Technology of Metals
- Issue: Vol 55, No 3 (2019)
- Pages: 418-423
- Section: Numerical Method
- URL: https://journal-vniispk.ru/0012-2661/article/view/154978
- DOI: https://doi.org/10.1134/S0012266119030145
- ID: 154978
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Abstract
Sufficient coefficient conditions for the unique solvability of a multipoint boundary value problem for a matrix Lyapunov differential equation are obtained in the case of weak degeneration of the boundary conditions. An iteration solution algorithm based on the computational scheme of the classical successive approximation method is proposed.
About the authors
A. N. Bondarev
Belarusian-Russian University
Author for correspondence.
Email: alex-bondarev@tut.by
Belarus, Mogilev, 212000
V. N. Laptinskii
Institute of Technology of Metals
Author for correspondence.
Email: lavani@tut.by
Belarus, Mogilev, 212030
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