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, 2017, Volume 21, Number 1, Pages 94–111
DOI: https://doi.org/10.14498/vsgtu1479 (Mi vsgtu1479) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Differential Equations and Mathematical Physics

A conditions of solvability of the Goursat problem in quadratures for the two-dimensional system of high order

E. A. Sozontova

Elabuga Branch of Kazan (Volga Region) Federal University, Elabuga, 423600, Russian Federation
Full-text PDF (660 kB) Citations (1)
(published under the terms of the Creative Commons Attribution 4.0 International License)
References:
PDF
HTML
DOI: https://doi.org/10.14498/vsgtu1479
Abstract: In this paper we consider the Goursat problem for the two-dimensional system of high order. The purpose is to find sufficient conditions of solvability of the considered problem in quadratures. The method of finding solutions of these problems in explicit calculation based on factorization of equations is devised. As a result the initial problem is reduced to 5 simpler problems: to four Goursat problems for equation and the Goursat problem for hyperbolic system of the second order. The final result in terms of the coefficients of the original system is formulated in two theorems.
Keywords: system of differential equations, Goursat problem, solvability in quadratures.
Received: March 6, 2016
Revised: November 18, 2016
Accepted: December 9, 2016
First online: April 16, 2017
Bibliographic databases:
Document Type: Article
UDC: 517.956
MSC: 35K70
Language: Russian
Citation: E. A. Sozontova, “A conditions of solvability of the Goursat problem in quadratures for the two-dimensional system of high order”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 21:1 (2017), 94–111
Citation in format AMSBIB
\Bibitem{Soz17}
\by E.~A.~Sozontova
\paper A conditions of solvability of the Goursat problem in quadratures for the two-dimensional system of high order
\jour Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]
\yr 2017
\vol 21
\issue 1
\pages 94--111
\mathnet{http://mi.mathnet.ru/vsgtu1479}
\crossref{https://doi.org/10.14498/vsgtu1479}
\elib{https://elibrary.ru/item.asp?id=29245099}
Linking options:
  • https://www.mathnet.ru/eng/vsgtu1479
  • https://www.mathnet.ru/eng/vsgtu/v221/i1/p94
    • This publication is cited in the following 1 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
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024