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, 2015, Number 9, Pages 74–79 (Mi ivm9038)  
This article is cited in 35 scientific papers (total in 35 papers)

Brief communications

On Fredholm partial integro-differential equation of the third order

T. K. Yuldashev

Chair of Higher Mathematics, Siberian State Aerospace University, 31 Krasnoyarskiy Rabochii Ave., Krasnoyarsk, 660014 Russia
Full-text PDF (149 kB) Citations (35)
References:
PDF
HTML
Abstract: We study single-valued solvability of the initial value problem for a nonlinear partial Fredholm integro-differential equation of the third order with degenerate kernel. First we modify a method of degenerate kernel of partial Fredholm integro-differential equation of the second kind to the case of Fredholm integro-differential equations of the third order. After solving the corresponding system of algebraic equations we obtain the Volterra integral equation of the second kind. Further we use the method of successive approximations combined with the method of contractive mappings.
Keywords: initial value problem, integro-differential equation, Fredholm equation with degenerate kernel, algebraic system of equations, single-valued solvability.
Presented by the member of Editorial Board: R. B. Salimov
Received: 23.12.2014
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2015, Volume 59, Issue 9, Pages 62–66
DOI: https://doi.org/10.3103/S1066369X15090091
Bibliographic databases:
Document Type: Article
UDC: 517.95
Language: Russian
Citation: T. K. Yuldashev, “On Fredholm partial integro-differential equation of the third order”, Izv. Vyssh. Uchebn. Zaved. Mat., 2015, no. 9, 74–79; Russian Math. (Iz. VUZ), 59:9 (2015), 62–66
Citation in format AMSBIB
\Bibitem{Yul15}
\by T.~K.~Yuldashev
\paper On Fredholm partial integro-differential equation of the third order
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2015
\issue 9
\pages 74--79
\mathnet{http://mi.mathnet.ru/ivm9038}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2015
\vol 59
\issue 9
\pages 62--66
\crossref{https://doi.org/10.3103/S1066369X15090091}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84943244664}
Linking options:
  • https://www.mathnet.ru/eng/ivm9038
  • https://www.mathnet.ru/eng/ivm/y2015/i9/p74
    • This publication is cited in the following 35 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:417
    Full-text PDF :134
    References:59
    First page:7
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024