Integrated Semigroups and C-Semigroups and their Applications

Journal Article · Sun Apr 15 00:00:00 EDT 2018 · Journal of Mathematical Sciences

DOI:https://doi.org/10.1007/S10958-018-3760-X· OSTI ID:22771340

Vasil’ev, V. V., E-mail: [e-mail] ^[1]; Piskarev, S. I., E-mail: [e-mail] ^[2]; Selivanova, N. Yu., E-mail: [e-mail] ^[3]

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

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.

• OSTI ID: 22771340
• Journal Information: Journal of Mathematical Sciences, Vol. 230, 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); ISSN 1072-3374
• Country of Publication: United States
• Language: English

Related Subjects

97 MATHEMATICAL METHODS AND COMPUTING
CAUCHY PROBLEM
DIFFERENTIAL EQUATIONS
GROUP THEORY