|
On the existence of a solution of a homogeneous system of generalized Wiener–Hopf equations
M. S. Sgibnev Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
Abstract:
We prove the existence of a non-decreasing solution
of a homogeneous system of generalized Wiener–Hopf equations
and establish asymptotic properties of this solution.
Keywords:
system of integral equations, homogeneous system of Wiener–Hopf equations, matrix of measures, matrix reconstruction function, asymptotic behaviour.
DOI:
https://doi.org/10.4213/im2760
Full text:
PDF file (521 kB)
References:
PDF file
HTML file
English version:
Izvestiya: Mathematics, 2010, 74:3, 595–606
Bibliographic databases:
UDC:
517.968
MSC: Primary 45E10; Secondary 47B35 Received: 16.01.2008 Revised: 25.07.2008
Citation:
M. S. Sgibnev, “On the existence of a solution of a homogeneous system of generalized Wiener–Hopf equations”, Izv. RAN. Ser. Mat., 74:3 (2010), 157–168; Izv. Math., 74:3 (2010), 595–606
Citation in format AMSBIB
\Bibitem{Sgi10}
\by M.~S.~Sgibnev
\paper On the existence of a solution of a homogeneous system of generalized Wiener--Hopf equations
\jour Izv. RAN. Ser. Mat.
\yr 2010
\vol 74
\issue 3
\pages 157--168
\mathnet{http://mi.mathnet.ru/izv2760}
\crossref{https://doi.org/10.4213/im2760}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=2682375}
\zmath{https://zbmath.org/?q=an:1196.45005}
\adsnasa{http://adsabs.harvard.edu/cgi-bin/bib_query?2010IzMat..74..595S}
\elib{https://elibrary.ru/item.asp?id=20425212}
\transl
\jour Izv. Math.
\yr 2010
\vol 74
\issue 3
\pages 595--606
\crossref{https://doi.org/10.1070/IM2010v074n03ABEH002499}
\isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000280306100007}
\elib{https://elibrary.ru/item.asp?id=16976152}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-78049339685}
Linking options:
http://mi.mathnet.ru/eng/izv2760https://doi.org/10.4213/im2760 http://mi.mathnet.ru/eng/izv/v74/i3/p157
Citing articles on Google Scholar:
Russian citations,
English citations
Related articles on Google Scholar:
Russian articles,
English articles
|
Number of views: |
This page: | 380 | Full text: | 102 | References: | 58 | First page: | 17 |
|