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Vestnik SamGU. Estestvenno-Nauchnaya Ser., 2011, Issue 5(86), Pages 37–52
(Mi vsgu77)
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Mathematics
About the method of traces of resolvents calculated precisely
E. M. Maleko Dept. of Mathematics, Magnitogorsk State Technical University,
Magnitogorsk, 455000, Russian Federation
(published under the terms of the Creative Commons Attribution 4.0 International License)
Abstract:
In the article it is ascertained that there are some methods of calculation of eigenvalues of ordinary boundary problems for the equations of mathematical physics. If the positive degree of a resolvent is the kernel operator this can take advantage at calculation of a spectrum of a boundary problem. It is mentioned that similar results are reached by A. A. Dorodnitsyn.
Keywords:
spectrum, discrete operator, Hilbert space.
Received: 14.10.2010 Revised: 14.10.2010
Citation:
E. M. Maleko, “About the method of traces of resolvents calculated precisely”, Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya, 2011, no. 5(86), 37–52
Linking options:
https://www.mathnet.ru/eng/vsgu77 https://www.mathnet.ru/eng/vsgu/y2011/i5/p37
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Abstract page: | 190 | Full-text PDF : | 79 | References: | 57 | First page: | 1 |
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