Integrated Semigroups and C-Semigroups and their Applications
- Authors: Vasil’ev V.V.1, Piskarev S.I.2,3, Selivanova N.Y.3
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Affiliations:
- Voronezh State Univercity
- Scientific Research Computer Center, M. V. Lomonosov Moscow State University
- Russian Institute for Scientific and Technical Information
- Issue: Vol 230, No 4 (2018)
- Pages: 513-646
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/240776
- DOI: https://doi.org/10.1007/s10958-018-3760-x
- ID: 240776
Cite item
Abstract
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.
About the authors
V. V. Vasil’ev
Voronezh State Univercity
Author for correspondence.
Email: vvv-252v@yandex.ru
Russian Federation, Voronezh
S. I. Piskarev
Scientific Research Computer Center, M. V. Lomonosov Moscow State University; Russian Institute for Scientific and Technical Information
Email: vvv-252v@yandex.ru
Russian Federation, Moscow; Moscow
N. Yu. Selivanova
Russian Institute for Scientific and Technical Information
Email: vvv-252v@yandex.ru
Russian Federation, Moscow