Construction and structure properties of solutions of a periodic boundary value problem for a generalization of the matrix Lyapunov and Riccati equations

DOI10.1134/S0012266118070091zbMath1410.34056OpenAlexW2886574094MaRDI QIDQ1798686

V. N. Laptinskiĭ, O. A. Makovetskaya

Publication date: 23 October 2018

Published in: Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0012266118070091

zbMATH Keywords

Riccati equationsperiodic boundary value problemthe matrix Lyapunov

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Theoretical approximation of solutions to ordinary differential equations (34A45)

Cites Work

• Two (multi) point nonlinear Lyapunov systems --- existence and uniqueness
• On the two-point boundary-value problem for the Riccati matrix differential equation
• Systems of matrix linear differential equations of first order
• On the constructive analysis of a two-point boundary value problem for a nonlinear Lyapunov equation
• Explicit polynomial formulas for solutions of the matrix equation AX−XA=C
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