Geodesic
On the essential and the discrete spectra of a~Fredholm type partial integral operator
Matematičeskie trudy, Tome 17 (2014) no. 2, pp. 23-40

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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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     author = {G. P. Arzikulov and Yu. Kh. Eshkabilov},
     title = {On the essential and the discrete spectra of {a~Fredholm} type partial integral operator},
     journal = {Matemati\v{c}eskie trudy},
     pages = {23--40},
     publisher = {mathdoc},
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G. P. Arzikulov; Yu. Kh. Eshkabilov. On the essential and the discrete spectra of a~Fredholm type partial integral operator. Matematičeskie trudy, Tome 17 (2014) no. 2, pp. 23-40. http://geodesic.mathdoc.fr/item/MT_2014_17_2_a1/