Sibirskii Matematicheskii Zhurnal
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Sibirsk. Mat. Zh.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Sibirskii Matematicheskii Zhurnal, 2001, Volume 42, Number 4, Pages 892–910 (Mi smj1432)  
This article is cited in 15 scientific papers (total in 15 papers)

The Cauchy problem for an inclusion in Banach spaces and distribution spaces

I. V. Mel'nikova

Ural State University
Full-text PDF (300 kB) Citations (15)
Abstract: We study well-posedness of degenerate Cauchy problems treated as Cauchy problems for a differential inclusion with a multivalued linear operator. Using a new approach to the definition of degenerate integrated semigroups and their generators in a Banach space, we obtain a well-posedness criterion for the problem. Moreover, we consider the Cauchy problem for a differential inclusion in the space of abstract distributions and give necessary and sufficient conditions for well-posedness in the distribution space.
Received: 15.03.1999
Revised: 01.02.2001
English version:
Siberian Mathematical Journal, 2001, Volume 42, Issue 4, Pages 751–765
DOI: https://doi.org/10.1023/A:1010453716613
Bibliographic databases:
UDC: 517.983:517.982
Language: Russian
Citation: I. V. Mel'nikova, “The Cauchy problem for an inclusion in Banach spaces and distribution spaces”, Sibirsk. Mat. Zh., 42:4 (2001), 892–910; Siberian Math. J., 42:4 (2001), 751–765
Citation in format AMSBIB
\Bibitem{Mel01}
\by I.~V.~Mel'nikova
\paper The Cauchy problem for an inclusion in Banach spaces and distribution spaces
\jour Sibirsk. Mat. Zh.
\yr 2001
\vol 42
\issue 4
\pages 892--910
\mathnet{http://mi.mathnet.ru/smj1432}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1865478}
\zmath{https://zbmath.org/?q=an:0987.47028}
\transl
\jour Siberian Math. J.
\yr 2001
\vol 42
\issue 4
\pages 751--765
\crossref{https://doi.org/10.1023/A:1010453716613}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000170501200011}
Linking options:
  • https://www.mathnet.ru/eng/smj1432
  • https://www.mathnet.ru/eng/smj/v42/i4/p892
    • This publication is cited in the following 15 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский математический журнал Siberian Mathematical Journal
    Statistics & downloads:
    Abstract page:271
    Full-text PDF :101
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024