On the operator equation AX - XB plus XDX = C

被引：0

作者：

Bezai, A. ^{[1
]}

Lombarkia, F. ^{[1
]}

机构：

[1] Univ Batna 2, Fac Math & Informat, Dept Math, Lab Math Tech LTM, Batna 05078, Algeria

来源：

RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO | 2023年 / 72卷 / 08期

关键词：

Ricatti operator equation; Lyapunov operator equation; Generalized Drazin inverse; Inner inverse; Cauchy problems; GENERALIZED DRAZIN INVERSE;

D O I：

10.1007/s12215-023-00887-3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

By application of the generalized Drazin inverse a method for solving Riccati and Lyapunov operator equations in Hilbert space are given. Results are applied to the problem of finding general solutions for Cauchy problems for Riccati and Lyapunov operator differential equations.

引用

页码：4179 / 4187

页数：9

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