On the Uniform Ergodic for α-times Integrated Semigroups

被引：0
|
作者：
Tajmouati, A. [1 ]
El Bakkali, A. [2 ]
Barki, F. [1 ]
Baba, M. A. Ould Mohamed [1 ]
机构：
[1] Sidi Mohamed Ben Abdellah Univ, Lab Math Anal & Applicat LAMA, Fac Sci Dhar Al Mahraz, Fes, Morocco
[2] Chouaib Doukkali Univ, Fac Sci, Dept Math, El Jadida, Morocco
来源：
BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA | 2021年 / 39卷 / 04期
关键词：
Uniformly ergodic; alpha-times integrated semigroup; Generator; LAPLACE TRANSFORMS;
D O I：
10.5269/bspm.41944
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let A be the generator of an alpha-times integrated semigroup (S(t))(t >= 0). We study the uniform ergodicity of (S(t)(t >= 0) and we show that the range of A is closed if and only if lambda R(lambda, A) is uniformly ergodic. Moreover, we obtain that (S(t))(t >= 0) is uniformly ergodic if and only if alpha = 0. Finally, we get that 1/t(alpha+1) integral(t)(0) S(s)ds converge uniformly for all alpha > 0.
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页码：9 / 20
页数：12
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