Two (multi) point nonlinear Lyapunov systems --- existence and uniqueness

DOI10.1016/0022-247X(92)90221-XzbMath0760.34024OpenAlexW2026983901MaRDI QIDQ1197415

K. N. Murty, Gary W. Howell, Seenith Sivasundaram

Publication date: 16 January 1993

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-247x(92)90221-x

zbMATH Keywords

nonlinear differential equationsmulti-point boundary conditions

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10)

Related Items (6)

Constructing a solution of a two-point boundary value problem for a nonlinear matrix Lyapunov equation ⋮ Analysis of a multipoint boundary value problem for a nonlinear matrix differential equation ⋮ Multipoint boundary value problem for the Lyapunov equation in the case of strong degeneration of the boundary conditions ⋮ Constructive methods for obtaining the solution of the periodic boundary value problem for a system of matrix differential equations of Riccati type ⋮ On the constructive analysis of a two-point boundary value problem for a nonlinear Lyapunov equation ⋮ Construction and structure properties of solutions of a periodic boundary value problem for a generalization of the matrix Lyapunov and Riccati equations

Cites Work

• Discrete and continuous boundary problems
• Algorithm 432 [C2: Solution of the matrix equation AX + XB = C [F4]]
• Solution of the Equation $AX + XB = C$ by Inversion of an $M \times M$ or $N \times N$ Matrix
• Explicit Solutions of Linear Matrix Equations
• Unnamed Item

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