Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports]
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


Sib. Èlektron. Mat. Izv.:
Year:
Volume:
Issue:
Page:
Find




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

Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2020, Volume 17, Pages 1849–1862
DOI: https://doi.org/10.33048/semi.2020.17.125 (Mi semr1319) 		 
Differentical equations, dynamical systems and optimal control

Approximate solution of the smooth transition equation

V. A. Lukianenko

V.I. Vernadsky Crimean Federal University, Prospekt Vernadskogo ave., Simferopol, Republic of Crimea, 295007, Russia
Full-text PDF (365 kB)
References:
PDF
HTML
DOI: https://doi.org/10.33048/semi.2020.17.125
Abstract: The problems of stability and the approximate solution of the integral smooth transition equation first introduced and studied by Yu.I. Chersky are considered. Using the solution of the smooth transition equation under classical assumptions, it is possible to construct the solution of the equation under weaker constraints on the kernels. For the approximate solution, an error estimation and a theorem on the uniqueness and sustainability are provided.
Keywords: smooth transition integral equation, approximate solution, iterative algorithms, stability.
Received February 3, 2020, published November 13, 2020
Bibliographic databases:
Document Type: Article
UDC: 517.44
MSC: 45E10, 30E25, 92K05
Language: English
Citation: V. A. Lukianenko, “Approximate solution of the smooth transition equation”, Sib. Èlektron. Mat. Izv., 17 (2020), 1849–1862
Citation in format AMSBIB
\Bibitem{Luk20}
\by V.~A.~Lukianenko
\paper Approximate solution of the smooth transition equation
\jour Sib. \`Elektron. Mat. Izv.
\yr 2020
\vol 17
\pages 1849--1862
\mathnet{http://mi.mathnet.ru/semr1319}
\crossref{https://doi.org/10.33048/semi.2020.17.125}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000589412800001}
Linking options:
  • https://www.mathnet.ru/eng/semr1319
  • https://www.mathnet.ru/eng/semr/v17/p1849
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024