On the number of negative eigenvalues of a partial integral operator

We find the lower boundary for the essential spectrum of a Fredholm type partial integral operator H . We also obtain an estimate for the number of eigenvalues below this boundary.

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Bibliographic Details
Published in:Siberian advances in mathematics 2015-07, Vol.25 (3), p.179-190
Main Authors: Eshkabilov, Yu. Kh, Kucharov, R. R.
Format: Article
Language:English
Subjects:
Mathematics
Mathematics and Statistics
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Description
Summary:We find the lower boundary for the essential spectrum of a Fredholm type partial integral operator H . We also obtain an estimate for the number of eigenvalues below this boundary.
ISSN:1055-1344
1934-8126
DOI:10.3103/S1055134415030037