Vestnik Volgogradskogo gosudarstvennogo universiteta. Seriya 1. Mathematica. Physica
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



Mathematical Physics and Computer Simulation:
Year:
Volume:
Issue:
Page:
Find






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


Vestnik Volgogradskogo gosudarstvennogo universiteta. Seriya 1. Mathematica. Physica, 2016, Issue 6(37), Pages 99–107
DOI: https://doi.org/10.15688/jvolsu1.2016.6.9
(Mi vvgum149)
 

Mathematics

On an overdetermined system of differential equations with singular point

Ph. M. Shamsudinov

Kurgan-Tyube State University
References:
Abstract: In this paper we consider the overdetermined system of second order differential equations with a singular point.
The system of equations (1) consists of a hyperbolic equation and two partial differential equations of second order with a singular point. The first equation of the system (1) under certain conditions on the coefficients can be represented as a superposition of two first order differential operators. Solving this equation and substituting its value in the second and third equation to get together conditions on the coefficients and right-hand sides. On the basis of the conditions of independence from the left side of the variable $y$, to determine the arbitrary function $\varphi_1(x)$ we obtain the ordinary differential equation of the first order. Other arbitrary function $\psi_1(y)$ is determined from the condition that the right side of independence in appropriate, limiting transition.
Thus, the obtained representation of the diversity of solutions using two arbitrary constants and studied properties of the resulting decisions.
Keywords: singular point, rectangle, variety of solutions, overdetermined system, unknown function.
Document Type: Article
UDC: 517. 9
BBC: 22.16
Language: Russian
Citation: Ph. M. Shamsudinov, “On an overdetermined system of differential equations with singular point”, Vestnik Volgogradskogo gosudarstvennogo universiteta. Seriya 1. Mathematica. Physica, 2016, no. 6(37), 99–107
Citation in format AMSBIB
\Bibitem{Sha16}
\by Ph.~M.~Shamsudinov
\paper On an overdetermined system
of differential equations with singular point
\jour Vestnik Volgogradskogo gosudarstvennogo universiteta. Seriya 1. Mathematica. Physica
\yr 2016
\issue 6(37)
\pages 99--107
\mathnet{http://mi.mathnet.ru/vvgum149}
\crossref{https://doi.org/10.15688/jvolsu1.2016.6.9}
Linking options:
  • https://www.mathnet.ru/eng/vvgum149
  • https://www.mathnet.ru/eng/vvgum/y2016/i6/p99
  • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Mathematical Physics and Computer Simulation
    Statistics & downloads:
    Abstract page:143
    Full-text PDF :53
    References:40
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024