Teoreticheskaya i Matematicheskaya Fizika
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


TMF:
Year:
Volume:
Issue:
Page:
Find




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

Teoreticheskaya i Matematicheskaya Fizika, 2020, Volume 204, Number 1, Pages 142–150
DOI: https://doi.org/10.4213/tmf9866 (Mi tmf9866) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Nontrivial solvability of the homogeneous Wiener–Hopf multiple integral equation in the conservative case and the Peierls equation

L. G. Arabadzhyanab, G. L. Arabajyanc

a Armenian State Teachers' Training University named after Khachatur Abovian, Yerevan, Armenia
b Institute of Mathematics, National Academy of Sciences of Armenia, Yerevan, Armenia
c Institute of Radiophysics & Electronics, National Academy of Sciences of Armenia, Ashtarak, Armenia
Full-text PDF (402 kB) Citations (3)
References:
PDF
HTML
DOI: https://doi.org/10.4213/tmf9866
Abstract: We describe the process of constructing a positive solution of the homogeneous Wiener–Hopf integral equation in an octant in a special (conservative) case. Applying the obtained general results to the homogeneous stationary Peierls equation allows studying the behavior of the solutions of this equation for large argument values. These problems are particularly interesting in the theory of radiation transfer.
Keywords: Wiener–Hopf multiple integral equation, stationary Peierls equation, conservativity condition, asymptotic solution behavior.
Received: 28.12.2019
Revised: 28.12.2019
English version:
Theoretical and Mathematical Physics, 2020, Volume 204, Issue 1, Pages 957–965
DOI: https://doi.org/10.1134/S0040577920070090
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: L. G. Arabadzhyan, G. L. Arabajyan, “Nontrivial solvability of the homogeneous Wiener–Hopf multiple integral equation in the conservative case and the Peierls equation”, TMF, 204:1 (2020), 142–150; Theoret. and Math. Phys., 204:1 (2020), 957–965
Citation in format AMSBIB
\Bibitem{AraAra20}
\by L.~G.~Arabadzhyan, G.~L.~Arabajyan
\paper Nontrivial solvability of the~homogeneous Wiener--Hopf multiple integral equation in the~conservative case and the~Peierls equation
\jour TMF
\yr 2020
\vol 204
\issue 1
\pages 142--150
\mathnet{http://mi.mathnet.ru/tmf9866}
\crossref{https://doi.org/10.4213/tmf9866}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4133471}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2020TMP...204..957A}
\elib{https://elibrary.ru/item.asp?id=45440501}
\transl
\jour Theoret. and Math. Phys.
\yr 2020
\vol 204
\issue 1
\pages 957--965
\crossref{https://doi.org/10.1134/S0040577920070090}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000549724400009}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85088162984}
Linking options:
  • https://www.mathnet.ru/eng/tmf9866
  • https://doi.org/10.4213/tmf9866
  • https://www.mathnet.ru/eng/tmf/v204/i1/p142
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024