Loading [MathJax]/jax/output/SVG/config.js
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, 2014, Number 7, Pages 15–29 (Mi ivm8908)  
This article is cited in 8 scientific papers (total in 8 papers)

On solvability of some boundary value problems for polyharmonic equation with Hadamard–Marchaud boundary operator

A. E. Bekaevaa, V. V. Karachikb, B. Kh. Turmetova

a Chair of Mathematics, International Kazakh–Turkish University, 2 Esimkhan Ave., Turkestan, 161200 Republic of Kazakhstan
b Chair of Mathematical Analysis, Southern-Ural State University, 76 Lenin Ave., Chelyabinsk, 454080 Russia
Full-text PDF (249 kB) Citations (8)
References:
PDF
HTML
Abstract: We investigate solvability conditions of some nonclassical boundary-value problems for the polyharmonic equation. In the capacity of boundary operators we consider fractional differential operators in the sense of Hadamard–Marchaud. Considered problems are generalize the known Dirichlet and Neumann boundary-value problems on boundary operators of fractional type.
Keywords: polyharmonic equation, fractional differential operators, Hadamard–Marchaud operators, Dirichlet and Neumann boundary-value problems.
Received: 16.01.2013
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2014, Volume 58, Issue 7, Pages 11–24
DOI: https://doi.org/10.3103/S1066369X14070020
Bibliographic databases:
Document Type: Article
UDC: 517.95
Language: Russian
Citation: A. E. Bekaeva, V. V. Karachik, B. Kh. Turmetov, “On solvability of some boundary value problems for polyharmonic equation with Hadamard–Marchaud boundary operator”, Izv. Vyssh. Uchebn. Zaved. Mat., 2014, no. 7, 15–29; Russian Math. (Iz. VUZ), 58:7 (2014), 11–24
Citation in format AMSBIB
\Bibitem{BekKarTur14}
\by A.~E.~Bekaeva, V.~V.~Karachik, B.~Kh.~Turmetov
\paper On solvability of some boundary value problems for polyharmonic equation with Hadamard--Marchaud boundary operator
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2014
\issue 7
\pages 15--29
\mathnet{http://mi.mathnet.ru/ivm8908}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2014
\vol 58
\issue 7
\pages 11--24
\crossref{https://doi.org/10.3103/S1066369X14070020}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84903691263}
Linking options:
  • https://www.mathnet.ru/eng/ivm8908
  • https://www.mathnet.ru/eng/ivm/y2014/i7/p15
    • This publication is cited in the following 8 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:530
    Full-text PDF :125
    References:95
    First page:12
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025