On the Exponential Stability of the Implicit Differential Systems in Hilbert Spaces

被引：0

作者：

Beghersa, Nor El-Houda ^{[1
]}

Benabdallah, Mehdi ^{[1
]}

Hariri, Mohamed ^{[2
]}

机构：

[1] Univ Sci & Technol Oran Mohamed Boudiaf USTO MB, Fac Math & Comp Sci, Dept Math, BP 1505 El-MNOUAR, Bir El Djir 31000, Oran, Algeria

[2] Ain Temouchent Univ, Dept Math, Mohamed Hariri, Ain Temouchent 46000, Algeria

来源：

INTERNATIONAL JOURNAL OF ANALYSIS AND APPLICATIONS | 2023年 / 21卷

关键词：

spectral theory; operator pencil; stability; implicit system;

D O I：

10.28924/2291-8639-21-2023-54

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The aim of this research is to study the exponential stability of the stationary implicit system: Ax'(t) + Bx(t) = 0, where A and B are bounded operators in Hilbert spaces. The achieved results are the generalization of Liapounov Theorem for the spectrum of the operator pencil ?A + B. We also establish the exponential stability conditions for the corresponding perturbed and quasi-linear implicit systems.

引用

页数：9