Integrated Semigroups and C-Semigroups and their Applications

被引：1
作者：
Vasil’ev V.V. [1 ]
Piskarev S.I. [2 ,3 ]
Selivanova N.Y. [3 ]
机构：
[1] Voronezh State Univercity, Voronezh
[2] Scientific Research Computer Center, M. V. Lomonosov Moscow State University, Moscow
[3] Russian Institute for Scientific and Technical Information, Moscow
来源：
Journal of Mathematical Sciences | 2018年 / 230卷 / 4期
关键词：
semigroup; integrated semigroup; C-semigroup; Cauchy problem; differential equation; 47D60; 47D62; 65Y20;
D O I：
10.1007/s10958-018-3760-x
中图分类号：
学科分类号：
摘要：
In this survey, some interesting generalizations of the theory of C0-semigroups and their applications are presented. The survey is divided into three parts: “Integrated semigroups,” “C-semigroups,” and “Applications.” Different approaches to the theory are discussed. The content presented is taken from articles of the last 20 years and also contains some results of the authors. Various applications are presented; most of them concern ill-posed Cauchy problems. © 2018, Springer Science+Business Media, LLC, part of Springer Nature.
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页码：513 / 646
页数：133
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