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On the essential and the discrete spectra of a Fredholm type partial integral operator

G. P. ArzikulovTashkent State Polytechnical University, Tashkent, 100179, UzbekistanYu. Kh. ÈshkabilovTashkent State Polytechnical University, Tashkent, 100179, Uzbekistan

Siberian Advances in Mathematicsjournal2015en

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Annotatsiya

We investigate the structure of the essential spectrum of a self-adjoint Fredholm type partial integral operator H. We obtain an explicit description of the essential spectrum of H and prove that an eigenvalue of H exists.

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Mavzular

Spectral Theory in Mathematical Physics Numerical methods in inverse problems Matrix Theory and Algorithms

Identifikatorlar

DOI: 10.3103/s105513441504001x

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