Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Izv. Vyssh. Uchebn. Zaved. Mat.:
Year:
Volume:
Issue:
Page:
Find




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

Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2010, Number 8, Pages 16–29 (Mi ivm7114)  
This article is cited in 9 scientific papers (total in 9 papers)

The continuous dependence of solutions to Volterra equations with locally contracting operators on parameters

E. O. Burlakova, E. S. Zhukovskiib

a Tambov State University, Tambov, Russia
b Institute of Mathematics, Physics and Information Science, Tambov State University, Tambov, Russia
Full-text PDF (288 kB) Citations (9)
References:
PDF
HTML
Abstract: For a Volterra equation in a functional space we obtain conditions for the unique existence of a global or maximally extended solution and its continuous dependence on equation parameters. Based on these results, we state conditions for the solvability of the Cauchy problem for a differential equation with delay and the continuous dependence of solutions on the right-hand side of the equation, on the delay, on the initial condition, and the history.
Keywords: Volterra operators, continuous dependence of solutions to equations on parameters, locally contracting operators, differential equations with delay.
Received: 16.09.2008
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2010, Volume 54, Issue 8, Pages 12–23
DOI: https://doi.org/10.3103/S1066369X10080025
Bibliographic databases:
Document Type: Article
UDC: 517.988
Language: Russian
Citation: E. O. Burlakov, E. S. Zhukovskii, “The continuous dependence of solutions to Volterra equations with locally contracting operators on parameters”, Izv. Vyssh. Uchebn. Zaved. Mat., 2010, no. 8, 16–29; Russian Math. (Iz. VUZ), 54:8 (2010), 12–23
Citation in format AMSBIB
\Bibitem{BurZhu10}
\by E.~O.~Burlakov, E.~S.~Zhukovskii
\paper The continuous dependence of solutions to Volterra equations with locally contracting operators on parameters
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2010
\issue 8
\pages 16--29
\mathnet{http://mi.mathnet.ru/ivm7114}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2752574}
\elib{https://elibrary.ru/item.asp?id=14369649}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2010
\vol 54
\issue 8
\pages 12--23
\crossref{https://doi.org/10.3103/S1066369X10080025}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-78649586861}
Linking options:
  • https://www.mathnet.ru/eng/ivm7114
  • https://www.mathnet.ru/eng/ivm/y2010/i8/p16
    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
    Statistics & downloads:
    Abstract page:588
    Full-text PDF :143
    References:71
    First page:7
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024