ON ONE APPROACH TO CONSTRUCTING A SOLUTION TO A TWO-POINT BOUNDARY VALUE PROBLEM FOR A NONLINEAR MATRIX LYAPUNOV EQUATION

Makovetskii, I. I.

doi:10.31857/S0374064125030107

PII

10.31857/S0374064125030107-1

DOI

10.31857/S0374064125030107

Publication type

Article

Status

Published

Authors

I. I. Makovetskii

Affiliation: Belarusian-Russian University

Volume/ Edition

Volume 61 / Issue number 3

Pages

429-432

Abstract

A two-point boundary value problem for a nonlinear generalization of the matrix Lyapunov equation is considered. An algorithm with an implicit computational scheme for constructing its solution is proposed.

Keywords

двухточечная краевая задача матричное дифференциальное уравнение разрешимость

Date of publication

19.09.2025

Year of publication

2025

Number of purchasers

Views

References

1. Лаптинский, В.Н. К построению решения двухточечной краевой задачи для нелинейного матричного уравнения Ляпунова / В.Н. Лаптинский, И.И. Маковецкий // Дифференц. уравнения. — 2020. — Т. 56, № 1. — С. 137–141.
2. Murty, K.N. Two (multi) point nonlinear Lyapunov systems — exisence and uniqueness / K.N. Murty, G.W. Howell, S. Sivasundaram // J. Anal. Appl. — 1992. — V. 167. — P. 505–515.
3. Лаптинский, В.Н. Матричные дифференциальные уравнения Ляпунова и Риккати / В.Н. Лаптинский, И.И. Маковецкий, В.Н. Пугин. — Могилев : Белорус.-Рос. ун-т, 2012. — 167 с.
4. Гантмахер, Ф.Р. Теория матриц / Ф.Р. Гантмахер. — 2-е изд., доп. — М. : Наука, 1966. — 576 с.
5. Канторович, Л.В. Функциональный анализ / Л.В. Канторович, Г.П. Акилов. — 2-е изд., перераб. — М. : Наука, 1977. — 741 с.

GOST	Makovetskii I. ON ONE APPROACH TO CONSTRUCTING A SOLUTION TO A TWO-POINT BOUNDARY VALUE PROBLEM FOR A NONLINEAR MATRIX LYAPUNOV EQUATION // Differential Equations. – 2025. – V. 61. – Issue number 3 C. 429-432 . URL: https://differeqras.ru/10-31857-s0374064125030107-1/?version_id=116379. DOI: 10.31857/S0374064125030107
MLA	Makovetskii, I. I "ON ONE APPROACH TO CONSTRUCTING A SOLUTION TO A TWO-POINT BOUNDARY VALUE PROBLEM FOR A NONLINEAR MATRIX LYAPUNOV EQUATION." Differential Equations. 61.3 (2025).:429-432. DOI: 10.31857/S0374064125030107
APA	Makovetskii I. (2025). ON ONE APPROACH TO CONSTRUCTING A SOLUTION TO A TWO-POINT BOUNDARY VALUE PROBLEM FOR A NONLINEAR MATRIX LYAPUNOV EQUATION. Differential Equations. vol. 61, no. 3, pp.429-432 DOI: 10.31857/S0374064125030107

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ON ONE APPROACH TO CONSTRUCTING A SOLUTION TO A TWO-POINT BOUNDARY VALUE PROBLEM FOR A NONLINEAR MATRIX LYAPUNOV EQUATION

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ON ONE APPROACH TO CONSTRUCTING A SOLUTION TO A TWO-POINT BOUNDARY VALUE PROBLEM FOR A NONLINEAR MATRIX LYAPUNOV EQUATION

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