Ufa Mathematical Journal
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


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




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

Ufa Mathematical Journal, 2015, Volume 7, Issue 3, Pages 73–83
DOI: https://doi.org/10.13108/2015-7-3-73 (Mi ufa293) 		 
Modified Riemann–Liouville integro-differential operators in the class of harmonic functions and their applications

B. T. Torebekab

a Institute of Mathematics and Mathematical Modeling, Ministry of Education and Science, Almaty, Republic of Kazakhstan
b Al-Farabi Kazakh National University, Almaty, Republic of Kazakhstan
English version PDF (359 kB) Russian version article
References:
PDF
HTML
DOI: https://doi.org/10.13108/2015-7-3-73
Abstract: In this work we study the properties of some modified integro-differential Riemann–Liouville integro-differential operators. As application of the properties of these operators we consider some local and nonlocal boundary value problems for Laplace equation in a ball. We prove existence and uniqueness for the studied problems. These problems generalize known Dirichlet and Bitsadze–Samarski problems.
Keywords: Laplace equation, harmonic function, Bavrin operator, Riemann–Liouville operators, nonlocal problems.
Received: 16.05.2015
Bibliographic databases:
Document Type: Article
UDC: 517.956.225+517.572
MSC: 35K20, 35R11
Language: English
Original paper language: Russian
Citation: B. T. Torebek, “Modified Riemann–Liouville integro-differential operators in the class of harmonic functions and their applications”, Ufa Math. J., 7:3 (2015), 73–83
Citation in format AMSBIB
\Bibitem{Tor15}
\by B.~T.~Torebek
\paper Modified Riemann--Liouville integro-differential operators in the class of harmonic functions and their applications
\jour Ufa Math. J.
\yr 2015
\vol 7
\issue 3
\pages 73--83
\mathnet{http://mi.mathnet.ru/eng/ufa293}
\crossref{https://doi.org/10.13108/2015-7-3-73}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000416602400009}
\elib{https://elibrary.ru/item.asp?id=24716956}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84959060608}
Linking options:
  • https://www.mathnet.ru/eng/ufa293
  • https://doi.org/10.13108/2015-7-3-73
  • https://www.mathnet.ru/eng/ufa/v7/i3/p76
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Уфимский математический журнал
    Statistics & downloads:
    Abstract page:618
    Russian version PDF:434
    English version PDF:33
    References:370
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025