Lyapunov 方程的边值问题I

IF 0.5 4区数学 Q3 MATHEMATICS

Ukrainian Mathematical Journal Pub Date : 2024-09-06 DOI:10.1007/s11253-024-02327-6

Oleksandr Boichuk, Evhen Panasenko, Oleksandr Pokutnyi

引用次数: 0

摘要

我们研究了 Lyapunov 算子微分方程的边界值问题。通过使用摩尔-彭罗斯伪逆算子理论及其广义，我们建立了广义解存在的条件，并提出了构建广义解的算法。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Boundary-Value Problems for the Lyapunov Equation. I

We study boundary-value problems for the Lyapunov operator-differential equation. By using the theory of Moore–Penrose pseudoinverse operators and its generalizations, we establish conditions for the existence of generalized solutions and propose algorithms for their construction.

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来源期刊

Ukrainian Mathematical Journal MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

0.90

自引率

20.00%

发文量

107

审稿时长

4-8 weeks

期刊介绍： Ukrainian Mathematical Journal publishes articles and brief communications on various areas of pure and applied mathematics and contains sections devoted to scientific information, bibliography, and reviews of current problems. It features contributions from researchers from the Ukrainian Mathematics Institute, the major scientific centers of the Ukraine and other countries. Ukrainian Mathematical Journal is a translation of the peer-reviewed journal Ukrains’kyi Matematychnyi Zhurnal, a publication of the Institute of Mathematics of the National Academy of Sciences of Ukraine.