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Matematicheskie Trudy, 2014, Volume 17, Number 2, Pages 23–40 (Mi mt275)  
This article is cited in 3 scientific papers (total in 3 papers)

On the essential and the discrete spectra of a Fredholm type partial integral operator

G. P. Arzikulova, Yu. Kh. Eshkabilovb

a Tashkent State Technical University, Tashkent, Uzbekistan
b Faculty of Mathematics and Mechanics, Ulugbek National University of Uzbekistan, Tashkent, Uzbekistan
Full-text PDF (247 kB) Citations (3)
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Abstract: We investigate the structure of the essential spectrum of a self-adjoint Fredholm type partial integral operator HH. We obtain an explicit description of the essential spectrum of HH and prove that an eigenvalue of HH exists.
Key words: essential spectrum, discrete spectrum, lower boundary of the essential spectrum, Fredholm type partial integral operator.
Received: 10.02.2014
English version:
Siberian Advances in Mathematics, 2015, Volume 25, Issue 4, Pages 231–242
DOI: https://doi.org/10.3103/S105513441504001X
Bibliographic databases:
Document Type: Article
UDC: 517.984.53
Language: Russian
Citation: G. P. Arzikulov, Yu. Kh. Eshkabilov, “On the essential and the discrete spectra of a Fredholm type partial integral operator”, Mat. Tr., 17:2 (2014), 23–40; Siberian Adv. Math., 25:4 (2015), 231–242
Citation in format AMSBIB
\Bibitem{ArzEsh14}
\by G.~P.~Arzikulov, Yu.~Kh.~Eshkabilov
\paper On the essential and the discrete spectra of a~Fredholm type partial integral operator
\jour Mat. Tr.
\yr 2014
\vol 17
\issue 2
\pages 23--40
\mathnet{http://mi.mathnet.ru/mt275}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3330049}
\transl
\jour Siberian Adv. Math.
\yr 2015
\vol 25
\issue 4
\pages 231--242
\crossref{https://doi.org/10.3103/S105513441504001X}
Linking options:
  • https://www.mathnet.ru/eng/mt275
  • https://www.mathnet.ru/eng/mt/v17/i2/p23
    • This publication is cited in the following 3 articles:
    1. D. Zh. Kulturaev, Yu. Kh. Eshkabilov, “On the Spectral Properties of Selfadjoint Partial Integral Operators with a Nondegenerate Kernel”, Sib Math J, 65:2 (2024), 475  crossref
    2. D. Zh. Kulturaev, Yu. Kh. Eshkabilov, “O spektralnykh svoistvakh samosopryazhennykh chastichno integralnykh operatorov s nevyrozhdennymi yadrami”, Vladikavk. matem. zhurn., 24:4 (2022), 91–104  mathnet  crossref  mathscinet
    3. G. P. Arzikulov, Yu. Kh. Eshkabilov, “About the spectral properties of one three-partial model operator”, Russian Math. (Iz. VUZ), 64:5 (2020), 1–7  mathnet  crossref  crossref  isi
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические труды Siberian Advances in Mathematics
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