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Dal'nevostochnyi Matematicheskii Zhurnal, 2016, Volume 16, Number 2, Pages 186–208 (Mi dvmg333)  

This article is cited in 1 scientific paper (total in 1 paper)

Some properties of the resolvent kernels for integral equations with bi-Carleman kernels

I. M. Novitskii

Khabarovsk Division of the Institute for Applied Mathematics, Far Eastern Branch, Russian Academy of Sciences
Full-text PDF (199 kB) Citations (1)
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Abstract: We prove that, at regular values lying in a region of generalized strong convergence, the resolvent kernels corresponding to a continuous bi-Carleman kernel vanishing at infinity can be expressed as uniform limits of sequences of resolvent kernels associated with its approximating Hilbert-Schmidt-type subkernels.
Key words: linear integral equation of the second kind, bounded integral linear operator, Fredholm resolvent, resolvent kernel, bi-Carleman kernel, Hilbert-Schmidt kernel, nuclear operator, regular value, characteristic set.
Received: 21.06.2016
Bibliographic databases:
Document Type: Article
UDC: 517.983:517.968
MSC: Primary 45P05; Secondary 45A05, 47A10, 47N20
Language: English
Citation: I. M. Novitskii, “Some properties of the resolvent kernels for integral equations with bi-Carleman kernels”, Dal'nevost. Mat. Zh., 16:2 (2016), 186–208
Citation in format AMSBIB
\Bibitem{Nov16}
\by I.~M.~Novitskii
\paper Some properties of the resolvent kernels for integral equations with
bi-Carleman kernels
\jour Dal'nevost. Mat. Zh.
\yr 2016
\vol 16
\issue 2
\pages 186--208
\mathnet{http://mi.mathnet.ru/dvmg333}
\elib{https://elibrary.ru/item.asp?id=27701003}
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  • https://www.mathnet.ru/eng/dvmg/v16/i2/p186
  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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