Dichotomy of Linear Partial Differential Equations of Neutral Type in Banach Spaces

被引：0
|
作者：
Marieme Lasri
Hamid Bounit
Said Hadd
机构：
[1] Faculty of Sciences,Department of Mathematics
[2] Ibn Zohr University,undefined
来源：
Journal of Dynamics and Differential Equations | 2021年 / 33卷
关键词：
Neutral Equations; Difference Equations; Perturbed Boundary Control Systems; Regular Linear Systems; Feedback; Exponential Dichotomy;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
This present paper is mainly devoted to investigate the property of spectral decomposition of neutral differential equations in infinite dimensional setting, that is the exponential dichotomy. In fact, we prove that the exponential dichotomy of the associated semigroup to such equations does not depend on that of their associated difference equations. Based on the regular linear systems and feedback theory, we introduce a new transformation of neutral-type equations which plays a key role in our investigation.
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页码：1663 / 1678
页数：15
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