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.

引用

页码：9 / 20

页数：12

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