On Uniform h-stability of Non-autonomous Evolution Equations in Banach Spaces

被引：4
|
作者：
Damak, Hanen [1 ]
机构：
[1] Fac Sci Sax, Dept Math, Rd Soukra,BP 1171-3000, Sfax, Tunisia
来源：
BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY | 2021年 / 44卷 / 06期
关键词：
Evolution operators; Gronwall's inequalities; h-stability; Mild solution; Non-autonomous evolution equations; Practical h-stability; ASYMPTOTIC STABILITY; POLYNOMIAL STABILITY; OPERATORS;
D O I：
10.1007/s40840-021-01173-0
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we are concerned with the global existence of mild solutions as well as uniform h-stability for non-autonomous evolution equations in a Banach space, where the operators in linear part (possibly unbounded) depend on time t and generate an evolution family. Under some estimates on the perturbation terms, we discuss the global uniform h-stability, the uniform h-stability and the global practical uniform h-stability using Gronwall integral inequalities. Some examples are provided to show the validity of the obtained results.
引用
收藏
页码：4367 / 4381
页数：15
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