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, 2022, Volume 14, Issue 3, Pages 41–50
DOI: https://doi.org/10.13108/2022-14-3-41
(Mi ufa621)
 

On integral equations of Fredholm kind in Bohr space of almost periodic functions

I. Sh. Jabbarov, N. E. Allakhyarova

Ganja State University
References:
Abstract: In the present work we consider a question on extending the notion of the Fredholm integral equation or second kind integral equation, which allows one to consider the issue on existence of solutions in the space of almost periodic functions. Almost periodic functions are defined on the entire line. This is why it seems difficult to describe them by some characteristics on finite intervals.
The Fredholm equations are known to be closely related with first order differential equations. In some particular cases there were posed the questions on finding the solutions in various classes of almost periodic functions. In some known cases there are no solutions in the Bohr class for such equations with almost periodic coefficients.
There are known examples of almost periodic functions (in the Besicovitch sense), which can not be solutions for a rather wide class of differential equations. It is natural to expect that in the general case the integral equations are also not solvable in Bohr class of almost-periodic functions. This is why a more specific approach is needed for the problem in the space of almost-periodic functions.
Keywords: almost periodic functions, Bohr classes, Fredholm equation, integral equation, differential equation.
Received: 11.01.2022
Bibliographic databases:
Document Type: Article
UDC: 517.968
MSC: 45B05
Language: English
Original paper language: Russian
Citation: I. Sh. Jabbarov, N. E. Allakhyarova, “On integral equations of Fredholm kind in Bohr space of almost periodic functions”, Ufa Math. J., 14:3 (2022), 41–50
Citation in format AMSBIB
\Bibitem{JabAll22}
\by I.~Sh.~Jabbarov, N.~E.~Allakhyarova
\paper On integral equations of Fredholm kind in Bohr space of almost periodic functions
\jour Ufa Math. J.
\yr 2022
\vol 14
\issue 3
\pages 41--50
\mathnet{http://mi.mathnet.ru//eng/ufa621}
\crossref{https://doi.org/10.13108/2022-14-3-41}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4472636}
Linking options:
  • https://www.mathnet.ru/eng/ufa621
  • https://doi.org/10.13108/2022-14-3-41
  • https://www.mathnet.ru/eng/ufa/v14/i3/p43
  • 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:92
    Russian version PDF:56
    English version PDF:17
    References:8
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024