Article

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

ABI

Abstract

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.

Topics

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

Identifiers

DOI: 10.3103/s105513441504001x

Citations and references

Cited by 2 18 references

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