Autonomous Nonlinear Boundary-Value Problems for the Lyapunov Equation in the Hilbert Space

被引：0

作者：

Bihun, D. S. ^{[1
]}

Pokutnyi, O. O. ^{[1
]}

Panasenko, E., V ^{[2
]}

机构：

[1] Natl Acad Sci Ukraine, Inst Math, Kiev, Ukraine

[2] Zaporizhzhya Natl Univ, Zaporizhzhya, Ukraine

来源：

UKRAINIAN MATHEMATICAL JOURNAL | 2021年 / 73卷 / 07期

基金：

欧盟地平线“2020”;

关键词：

STABILITY; SYSTEMS;

D O I：

10.1007/s11253-021-01973-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study boundary-value problems for the Lyapunov equation in the Hilbert space in the case where the corresponding problem is defined on an interval that depends on a parameter. We obtain necessary and sufficient conditions for the existence of generalized solutions of the problem.

引用

页码：1009 / 1022

页数：14

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