Algebra i Analiz
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


Algebra i Analiz:
Year:
Volume:
Issue:
Page:
Find




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

Algebra i Analiz, 2008, Volume 20, Issue 2, Pages 43–69 (Mi aa505)  
This article is cited in 2 scientific papers (total in 2 papers)

Research Papers

Sharp estimates for solutions of systems with aftereffect

V. V. Vlasova, S. A. Ivanovbc

a Moscow State University
b Saint-Petersburg State University
c Russian Center of Laser Physics
Full-text PDF (348 kB) Citations (2)
References:
PDF
HTML
Abstract: Sharp estimates are established for strong solutions of systems of differential-difference equations of both neutral and retarded type.
The approach is based on the study of the resolvent corresponding to the generator of the semigroup of shifts along the trajectories of a dynamical system. In the case of neutral type equations, the Riesz basis property of the subsystem of exponential solutions is used.
Keywords: Differential-difference equation, retarded type, neutral type, neutral-neutral type.
Received: 14.11.2006
English version:
St. Petersburg Mathematical Journal, 2009, Volume 20, Issue 2, Pages 193–211
DOI: https://doi.org/10.1090/S1061-0022-09-01044-9
Bibliographic databases:
Document Type: Article
MSC: 34K12
Language: Russian
Citation: V. V. Vlasov, S. A. Ivanov, “Sharp estimates for solutions of systems with aftereffect”, Algebra i Analiz, 20:2 (2008), 43–69; St. Petersburg Math. J., 20:2 (2009), 193–211
Citation in format AMSBIB
\Bibitem{VlaIva08}
\by V.~V.~Vlasov, S.~A.~Ivanov
\paper Sharp estimates for solutions of systems with aftereffect
\jour Algebra i Analiz
\yr 2008
\vol 20
\issue 2
\pages 43--69
\mathnet{http://mi.mathnet.ru/aa505}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2423996}
\zmath{https://zbmath.org/?q=an:1206.34089}
\elib{https://elibrary.ru/item.asp?id=11568869}
\transl
\jour St. Petersburg Math. J.
\yr 2009
\vol 20
\issue 2
\pages 193--211
\crossref{https://doi.org/10.1090/S1061-0022-09-01044-9}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000267497500003}
Linking options:
  • https://www.mathnet.ru/eng/aa505
  • https://www.mathnet.ru/eng/aa/v20/i2/p43
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Алгебра и анализ St. Petersburg Mathematical Journal
    Statistics & downloads:
    Abstract page:664
    Full-text PDF :209
    References:97
    First page:14
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024