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.
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页数：9
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