Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Editorial staff
Guidelines for authors
License agreement
Editorial policy

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]:
Year:
Volume:
Issue:
Page:
Find




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

Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, 2012, Issue 4(29), Pages 17–25
DOI: https://doi.org/10.14498/vsgtu1123 (Mi vsgtu1123) 		 
This article is cited in 20 scientific papers (total in 20 papers)

Differential Equations

Problem with shift for the third-order equation with discontinuous coefficients

O. A. Repinab, S. K. Kumykovac

a Samara State Technical University, Samara, Russia
b Samara State Economic University, Samara, Russia
c Kabardino-Balkar State University, Nalchik, Russia
Full-text PDF (177 kB) Citations (20)
(published under the terms of the Creative Commons Attribution 4.0 International License)
References:
PDF
HTML
DOI: https://doi.org/10.14498/vsgtu1123
Abstract: The unique solvability of boundary value problem with Saigo operators for the third-order equation with multiple characteristics was investigated. The uniqueness theorem with constraints of inequality type on the known functions and different orders of generalized fractional integro-differentiation was proved. The existence of solution is equivalently reduced to the solvability of Fredholm integral equation of the second kind.
Keywords: boundary value problem, Gauss hypergeometric function, operators of fractional order, Fredholm equation.
Original article submitted 17/X/2012
revision submitted – 16/XI/2012
Bibliographic databases:
Document Type: Article
UDC: 517.956.6+517.968.23
MSC: Primary 35M12; Secondary 26A33, 33C05
Language: Russian
Citation: O. A. Repin, S. K. Kumykova, “Problem with shift for the third-order equation with discontinuous coefficients”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 4(29) (2012), 17–25
Citation in format AMSBIB
\Bibitem{RepKum12}
\by O.~A.~Repin, S.~K.~Kumykova
\paper Problem with shift for the third-order equation with discontinuous coefficients
\jour Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]
\yr 2012
\vol 4(29)
\pages 17--25
\mathnet{http://mi.mathnet.ru/vsgtu1123}
\crossref{https://doi.org/10.14498/vsgtu1123}
Linking options:
  • https://www.mathnet.ru/eng/vsgtu1123
  • https://www.mathnet.ru/eng/vsgtu/v129/p17
    • This publication is cited in the following 20 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Вестник Самарского государственного технического университета. Серия: Физико-математические науки
    Statistics & downloads:
    Abstract page:582
    Full-text PDF :286
    References:104
    First page:1
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024