Integrated Semigroups and C-Semigroups and their Applications


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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


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