Boundedness Types of Perturbations on the Growth of Semigroups

Boundedness Types of Perturbations on the Growth of Semigroups

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摘要 We study types of boundedness of a semigroup on a Banach space in terms of the Cesáro-average and the behavior of the resolvent at the origin and also exhibit a characterization of type Hille-Yosida for the generators of ϕj-bounded strongly continuous semigroups. Furthermore, these results are used to investigate the effect of the Perturbation on the type of the growth of sequences. We study types of boundedness of a semigroup on a Banach space in terms of the Cesáro-average and the behavior of the resolvent at the origin and also exhibit a characterization of type Hille-Yosida for the generators of ϕj-bounded strongly continuous semigroups. Furthermore, these results are used to investigate the effect of the Perturbation on the type of the growth of sequences.

作者 Zuheir Khidir Ahmed Abdelgader Nariman Khider Ahmed Abdalgadir Entisar Bakhit Bashir Elshikh Abualez Alamin Ahmed Ali Zuheir Khidir Ahmed Abdelgader;Nariman Khider Ahmed Abdalgadir;Entisar Bakhit Bashir Elshikh;Abualez Alamin Ahmed Ali(Department of Mathematics, Faculty of Education, Gezira University, Wad Madani, Sudan;Department of Mathematics, Faculty of Education, Holy Quran University, Wad Madani, Sudan)

机构地区 Department of Mathematics Department of Mathematics

出处《Advances in Pure Mathematics》 2023年第1期1-10,共10页 理论数学进展（英文）

关键词 Cesáro Average C0-Semigroups BOUNDEDNESS Perturbation Stability Hille-Yosida Growth of Sequences Cesáro Average C0-Semigroups Boundedness Perturbation Stability Hille-Yosida Growth of Sequences

分类号 O17 [理学—基础数学]

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Advances in Pure Mathematics

2023年第1期

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Boundedness Types of Perturbations on the Growth of Semigroups

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