# Integrated Semigroups and C-Semigroups and their Applications

## Abstract

In this survey, some interesting generalizations of the theory of C{sub 0}-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.

- Authors:

- Voronezh State Univercity (Russian Federation)
- M. V. Lomonosov Moscow State University, Scientific Research Computer Center (Russian Federation)
- Russian Institute for Scientific and Technical Information (Russian Federation)

- Publication Date:

- OSTI Identifier:
- 22771340

- Resource Type:
- Journal Article

- Journal Name:
- Journal of Mathematical Sciences

- Additional Journal Information:
- Journal Volume: 230; Journal Issue: 4; Other Information: Copyright (c) 2018 Springer Science+Business Media, LLC, part of Springer Nature; http://www.springer-ny.com; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1072-3374

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 97 MATHEMATICAL METHODS AND COMPUTING; CAUCHY PROBLEM; DIFFERENTIAL EQUATIONS; GROUP THEORY

### Citation Formats

```
Vasil’ev, V. V., E-mail: vvv-252v@yandex.ru, Piskarev, S. I., E-mail: piskarev@gmail.com, and Selivanova, N. Yu., E-mail: math@viniti.ru.
```*Integrated Semigroups and C-Semigroups and their Applications*. United States: N. p., 2018.
Web. doi:10.1007/S10958-018-3760-X.

```
Vasil’ev, V. V., E-mail: vvv-252v@yandex.ru, Piskarev, S. I., E-mail: piskarev@gmail.com, & Selivanova, N. Yu., E-mail: math@viniti.ru.
```*Integrated Semigroups and C-Semigroups and their Applications*. United States. doi:10.1007/S10958-018-3760-X.

```
Vasil’ev, V. V., E-mail: vvv-252v@yandex.ru, Piskarev, S. I., E-mail: piskarev@gmail.com, and Selivanova, N. Yu., E-mail: math@viniti.ru. Sun .
"Integrated Semigroups and C-Semigroups and their Applications". United States. doi:10.1007/S10958-018-3760-X.
```

```
@article{osti_22771340,
```

title = {Integrated Semigroups and C-Semigroups and their Applications},

author = {Vasil’ev, V. V., E-mail: vvv-252v@yandex.ru and Piskarev, S. I., E-mail: piskarev@gmail.com and Selivanova, N. Yu., E-mail: math@viniti.ru},

abstractNote = {In this survey, some interesting generalizations of the theory of C{sub 0}-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.},

doi = {10.1007/S10958-018-3760-X},

journal = {Journal of Mathematical Sciences},

issn = {1072-3374},

number = 4,

volume = 230,

place = {United States},

year = {2018},

month = {4}

}

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