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On the number of negative eigenvalues of a partial integral operator

Yu. Kh. ÈshkabilovNational University of Uzbekistan, Tashkent, 100174, UzbekistanR.R. KucharovNational University of Uzbekistan, Tashkent, 100174, Uzbekistan
ABI

Abstract

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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