Vladikavkazskii Matematicheskii Zhurnal
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



Vladikavkaz. Mat. Zh.:
Year:
Volume:
Issue:
Page:
Find






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


Vladikavkazskii Matematicheskii Zhurnal, 2015, Volume 17, Number 1, Pages 39–46 (Mi vmj531)  

This article is cited in 4 scientific papers (total in 4 papers)

Direct and inverse problems for a singular system with slow and fast variables in chemical kinetics

L. I. Kononenkoab

a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk, Russia
b Novosibirsk State University, Novosibirsk, Russia
Full-text PDF (221 kB) Citations (4)
References:
Abstract: Direct and inverse problems for singular systems with small parameter are stated, which describe catalytic reactions in chemical kinetics. The solution of the direct problem is based on the method of integral manifolds. The inverse problem reduces to finding the coefficients of the polynomial in the right-hand part of the slow equation according to the solution given on the slow surface of the system. The above arguments make it possible to obtain existence and uniqueness conditions for the coefficients in the right-hand part of the slow subsystem of the degenerate system.
Key words: mathematical modeling, singularly perturbed system, integral manifold, slow surface, inverse problem.
Received: 28.09.2014
Document Type: Article
UDC: 541.124+541.126+517.9
Language: Russian
Citation: L. I. Kononenko, “Direct and inverse problems for a singular system with slow and fast variables in chemical kinetics”, Vladikavkaz. Mat. Zh., 17:1 (2015), 39–46
Citation in format AMSBIB
\Bibitem{Kon15}
\by L.~I.~Kononenko
\paper Direct and inverse problems for a~singular system with slow and fast variables in chemical kinetics
\jour Vladikavkaz. Mat. Zh.
\yr 2015
\vol 17
\issue 1
\pages 39--46
\mathnet{http://mi.mathnet.ru/vmj531}
Linking options:
  • https://www.mathnet.ru/eng/vmj531
  • https://www.mathnet.ru/eng/vmj/v17/i1/p39
  • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Владикавказский математический журнал
    Statistics & downloads:
    Abstract page:372
    Full-text PDF :107
    References:61
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024