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Dal'nevostochnyi Matematicheskii Zhurnal, 2016, Volume 16, Number 2, Pages 186–208
(Mi dvmg333)
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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
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
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
Linking options:
https://www.mathnet.ru/eng/dvmg333 https://www.mathnet.ru/eng/dvmg/v16/i2/p186
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Abstract page: | 389 | Full-text PDF : | 404 | References: | 54 |
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