Multipoint Boundary Value Problem for the Lyapunov Equation in the Case of Weak Degeneration of the Boundary Conditions

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...

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Published in:Differential equations 2019-03, Vol.55 (3), p.418-423
Main Authors: Bondarev, A. N., Laptinskii, V. N.
Format: Article
Language:English
Subjects:
Difference and Functional Equations
Mathematics
Mathematics and Statistics
Numerical Method
Ordinary Differential Equations
Partial Differential Equations
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description 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.
doi_str_mv 10.1134/S0012266119030145
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1608-3083
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subjects Difference and Functional Equations
Mathematics
Mathematics and Statistics
Numerical Method
Ordinary Differential Equations
Partial Differential Equations
title Multipoint Boundary Value Problem for the Lyapunov Equation in the Case of Weak Degeneration of the Boundary Conditions
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