Multipoint boundary value problem for the Lyapunov equation in the case of strong degeneration of the boundary conditions

We obtain sufficient coefficient conditions for the unique solvability of a multipoint boundary value problem for the Lyapunov matrix differential equation in the case of strong degeneration of the boundary conditions. We suggest an efficient algorithm for constructing the solution.

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Bibliographic Details
Published in:Differential equations 2011-06, Vol.47 (6), p.778-786
Main Authors: Bondarev, A. N., Laptinskii, V. N.
Format: Article
Language:English
Subjects:
Algorithms
Analysis
Approximation
Boundary conditions
Boundary value problems
Coefficients
Construction
Degeneration
Difference and Functional Equations
Differential equations
Mathematical analysis
Mathematics
Mathematics and Statistics
Ordinary Differential Equations
Partial Differential Equations
Studies
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Description
Summary:We obtain sufficient coefficient conditions for the unique solvability of a multipoint boundary value problem for the Lyapunov matrix differential equation in the case of strong degeneration of the boundary conditions. We suggest an efficient algorithm for constructing the solution.
ISSN:0012-2661
1608-3083
DOI:10.1134/S0012266111060036